{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 什么是窗函数？\n",
    "\n",
    "窗函数能够产生一段特定的信号，假定为w\n",
    "\n",
    "我们假设一段信号为x，给这段信号加窗，指的是将x乘上w\n",
    "\n",
    "下面的代码说明了这个过程"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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00WoejlRowDmwdaF7VTrsQcmXkwQpZLh9QQSVIOahtXcUNd3DbrPTbaqliWEI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zAAAg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\nxDD6f4EqDDd93HbfAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x227e7e0ae48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.signal import get_window\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "M = 128                                     # 信号的长度\n",
    "x = np.cos( np.linspace(0, 8*np.pi, 128) )  # 生成一段cos信号\n",
    "w = get_window('hanning', M)                # 调用窗函数，生成w（hanning是一种窗函数）\n",
    "\n",
    "xw = x*w                                    # 加窗\n",
    "\n",
    "plt.figure(figsize=(10,10))\n",
    "plt.subplot(311)\n",
    "plt.plot(x);plt.title('Input signal')\n",
    "plt.subplot(312)\n",
    "plt.plot(w);plt.title('Haning window')\n",
    "plt.subplot(313)\n",
    "plt.plot(xw);plt.title('Windowed signal')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 窗函数的作用是什么？\n",
    "\n",
    "## 1.防止泄露（关于泄露，参见[什么是泄漏？](hhttps://mp.weixin.qq.com/s?__biz=MzI5NTM0MTQwNA==&mid=2247484164&idx=1&sn=fdaf2164306a9ca4166c2aa8713cacc5&scene=21#wechat_redirect)）\n",
    "在信号处理中，我们通常对信号进行截断分析，如果信号截断为非周期截断，那么频谱将发生泄露。通过加窗，可以减少频谱的泄露。我们可以这么想象，窗函数可以将一个非周期的信号，强行编程一个周期的信号。\n",
    "\n",
    "下面的代码展示了什么是泄露，已经窗函数可以减少泄露\n",
    "可以从（c）和（d）的对比中看到，加窗后可以有效的减少泄露"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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C+JhS6p4N/wIREWj2FCkLXdrzyb5PIyYPYxlTXhnoHwJwAREdAvDfAbQBQCn1bpQG+sdQ\nGuhFAD9XHcuISBvoFMAH1stAt1ISWbzP3PUYXv+P9+JF/+Ip2DPTWY+PHhoDD1MXisa3ErJciWx6\nXhm2rc60D3LlCQq2zvoX+xn+9qYD+PnvfzqShIxjeaHEa2S5XzqCi5VDuJk4eqaHfl7gzHLm3G9Z\nIZ//w7NL+O1P3o13vuJfYtdUe6OWKmIwIffiSlBKvXyF4wrAr3iOXY3SpkdEbCp0cCvdj3kh70cR\nEeuJsTjVk2CgW4ks/9DShP4WkCZkKzh1UlDwjQOn8Jm7HsfvvmTzOxEOClU70Bw1U73F2T0fs5HX\n6998A339A8fxhs/uxfd+6/n4zot3G8cGeSGuMdtC6x8ENsEsl7WRdx+axfUPHMPDxxfwXZfuWfc1\nhqCvD+k+jYiI2FiEsriZp3A+ImI9MTGFimtFyVT7Hb7+Frj5+vlKTp177Ev3HcX7b3h4S2zyPk2s\nduYGW2CNg7zAe65/SAyifJrkrSS/6WVafiCfZ+k6aDT5m79+vQZf8BU6/1tj/WcHUx0RcTbARzgV\nhYJSW2PPidhe2D5OdUJyikg7fFuAxctyhULBKSgbBJzSOijYwkx7KCi457HT+NgtB53H1wu3PXoK\nb7z6Ptwq6Iszj3wi30LnOOTUZYXCIJAp2OpO6crnf/Pv0Too2AL2IiJiO6AoFH7oLV/Cp4SWuNqZ\ntvedScmORpx92EZOdbLlWbA6tWwNedEGQ9rI9XM3kmk/eHJRHEQz8BX6Ff6U/8dvPYQ//My941+k\nB7rQTAxQJqDQsmF65fMsBzVbRxNeyz9Epl3O1OjnboVs0qQUrUZEnC3o5wUeObGIh48vOsd8QfpW\nkuxFbC9sH6c69TDVW4iF7Huj7sopkqQh+cYGBYdOLeIFb/kSvi60l/N2/wiscZAX6G3gudd/Z0l+\nMMhlDV5epxjl9S9vYAFgo0keXb6yFQJHX1BQFGWWRlp/LV/ZAvdoKKiJiIgYP3QwLbUE9dU4NHtm\nvE8jNhbbx6n2tNTbSg6Hr5K5ZscCDtNGBQUn5vtQCjgptUSr5B82ix1iDfJCoZ8XGzaCfVAHLu6x\nlVrq9YX1//Hn7xN7i68X9N9ZIkpXLrTcCte4h1lSYVkIsLH36Js+txe3PXrKeTxqqiMiNhY6mA7Z\nBtvuhWyeUmpDiZCI7YXt41SnyZZIjSul8L6v7Ben8/n0mqFCuY0uQutlfqbO19lhpQptYONS+/28\nNKZioVwe1vRKBvqJuR4em5WHmawH+qthqgNBwUaj72F6m8BRuMY3WOJUFAp/ed1+fHHvEedY7P4R\nEbGxaGyGZPN8TLV/X/zn+47if/vDL+DM8tae3hoxmdg2TnWakHiD6Yc2yil97PQy3vDZvfine90N\ne+DRa4aY3o1m8TRTGlqLbeBCEyGLDWba+wHWYzXDa/KiqDtybAQGmXyOlVIrFvpJ18jh2SU8fHxh\nHVYqwydfCenu83xjA996E5fqBuq1bD7rHxGxHaBtXrCzVD78nvPY7BIW+jlmF6NTHTF+bBunup3S\nCkz1xmySoYlsPr1muMF9eWyjdMnagQxpp+11hovrNsep9nUpCclXpGsky9WGasJ92YDcE9Dw50rX\n3Bs+cy9+4+N3jnuZ+NWrvoFP3u5W6/uCgmEkThuWjRn4O3w08qHIVEdEbASa7OLwRM4w2dGNtNsR\n2wfbxqlOk0SMWrNARPuJ2w7hjoOzY12H3rBHmZwYcipC618PrMT0Aq4zEnJK60LRDZN/+J23QSGf\n/xA7mRdqQ4tcvYFX8ByXj0nyj/lehtNL42dsvrj3qKxJ9jDS4WzARkuccu9aQgFuRETE+BGSHDYZ\nLiu7G7Dzee1UR111xPixbZzqduJjqv0b9h99/j58+MZHx7qO5QDT63eYwuwqsIFM7wrDO8r/7dR+\niIWsHL4twFT79HnBQkstu9iwoCDslIbYHF9QsB5FO8uD3HONV+t06gYCWvHANX7sTE+sT1gLwnUD\nkamOiNhIhO4537EskIFunOrIVEeMH9vGqfZpqjfa4ahTy5KB8LF4WzE1Lq3f44zkHmebH9tsTbVu\n6SYdC2UD1otpf+eX9uGzdz3uPO6bSMgZVH/3Ffn6Xx6Md+16sqaYzfCc/9A1HtJH/vrH78TrPvXN\nNa+ZozdENiYy1RERG4NQdtSXOWr2nM2XHEZsL2wbp7rt7f7hv8GydehBvBxILTd6U7lQUepTXQSc\nunseO41ZofXdWtALOBW+oKCRT/gN3EaxBj6nlJ9b2/lcSVMNNMHGuPC3Nx3A1d90nWpfoSg/t35p\niHv+i0KhN/ZrfOV07Wo0kNL5n13s49jYmeryfMh9ceV7NCIiYn0QqsnxDUYLZUcjUx2xntg2TnXq\nGVO+Egs5bhYvxPT6OiAMAgYiFHW/4r034f03PLy2BVvQDliwUNGjqQ4y1Rssn/AVygGjtQRcr/Uv\nD3LRqfOlO/nvPtbGl6kZ9+ayHLhGak27Ezj6u8qEionzQmGpP+Zs0jBM9RZoTxgRsR0QkuytNFEx\nKP+Ivaoj1gFjcaqJ6EVEdD8R7SOi3xKO/1ciuqP6900iyonovOrYI0R0d3Xs1nGsR0Ir9bXUC2zY\nSmFp3PKPAFPtYyFzj7NdHvMbj4VehpML42WqfZpe3dKtPCZrqoPyiTE7dgdPLuKx2SXncV8qMQsw\nvaFe5vq7jpupXuzn8jXiOf/87+/7bt5CS08rwdUi5FT7JEJ8c7TlK6Fe5usr0XI/72zRVE+CzY7Y\nXJxeGmyJISk+IgRYOfO1FYrjgTJrvBXOZcT6Y81ONRGlAN4J4MUArgDwciK6gj9HKfUWpdRzlVLP\nBfDbAK5TSp1kT/nh6viVa12PDy1PoeJKDsd6bdjh1LJPbzp8alw7ueNm8XysAXfk/IV+oxWhrQW/\n/vE78fp/vMd53FeEZsg/fEy1GHjp9x3feVZVMDeKU2qcf09QFpbfjG/9y3WHG+nvHdZA2j8DzffR\n8ijz/TY28D0bun9Mis2O2Fy86v034S3X3O88nuUFvv7QiQ1bR0OEDF8cH8p81TZvzESID3PLA7z0\nHV/Fp+94bEM+L2JzMQ6m+nkA9iml9iul+gCuAvDSwPNfDuAjY/jckdBK5ZZ6oah1ozfslScS+lPj\ntlOqn7q4Qanx4eQTwzPVSin82sfuENuyDYOTC33M9zLn8ZX6PAOCptozYKB8XcVUjzEoWA60XfSv\nv/l8W3s/TLu9ccqchpF/hIIC3/Wj+9Vy5Otyj4bSzf5jE4SJsNkRm4ujcz0cmXOnxX75/mN4+Xtv\nxCNjHhqV5QUW+67NDndskiWHNVkmSvaqPXODmOqFXoasUJgTJjh+4d4j+LWP3rEh64jYGIzDqb4E\nwEH2+6HqMQdENAPgRQA+wR5WAK4lotuI6NW+DyGiVxPRrUR067Fjx0ZeZMlUByJd66YsCgWlgOV1\nckrttSilmhR4PrxT5BtBrQ3QgmCk1gJt4GymnRsv3/CaEFNqG7ilQY5P3n4Y1z8w+t8aqAyZ8Hk+\nAx2UTwxTqDhGpnepdkr98gPn/AflK0PoC8e4/mDg6A3K/Oe/Xr/IVBcbFjgCfg3nhGEibHbE5iIr\nCtFmaLJCchLXgg989WG86K1fcR4PDg9bTRvU6ittlKZa7znS/nfj/hP4jNDlKWJysdGFij8B4KtW\nGvEHqhTjiwH8ChG9QHqhUuo9SqkrlVJXXnjhhSN/cCtJVmjXJTuyy+tUxOVz3Pia6t+HqH62mV79\n+GrlH1++/yg+L3Sf8DlMg2xlp1SUT3iYdv0aiW0eBgu9TGZKV6WpXplpHydTvVRP3ZSY3pXX77uW\nQ5ma8TLVQ2ggPWsERgsqi6L8m46TOdabrSzR8uutz1Jsms2O2Fz0s2JDOzY9cmIRTwjMuM/mAf6B\nXTw76rYYHX92MYS+h0gDSpvWzwtnjRGTi3E41YcBXMZ+v7R6TMLLYKURlVKHq/+PAvgUytTk2NFK\nfd0/5FRQodbmlPrgSy0PI58IT4S0HZHy99WyeO+5fj/+4ssPOY/7DETIKQr2DNVMux0UVI/PL4/u\nVCulsNDPkQuGytvnmcsnrPXXrQI3aJDAUpVdKIT1+8+/P1OwUvcPAGOtHQgWKvqmhhpBgbwJyhIt\nLV8ZJ9O+MlO9URNM1wkTYbMjNhdZoTzZucopHXdx9gpESLClnqcNLRCQk22QU90LMNWx7/3Zh3E4\n1bcAeAYRPZ2IOiiN8KftJxHRbgAvBPAP7LEdRLRL/wzgRwGMd5JDhVZCwZZodmq5YarzsUaRPqea\nOwyj9PBt1u9hqlfpbMwtD0Sm1OdwrFY+UTultiNenfP5VchXehVzKWt69fk3Hw/KJzwSG8Bf9LLU\nz/Gv/uTLqyroWeqPrqnmv9vGe5jpYuN1qv3r9xe6hoKC8v/Q+ldznc8u9nHnwVnn8W2gqZ4Imx2x\n/lDKX4yf5Uqe37AOkjEAJREiMMtBpnoIe+hr8TpupvrM8kDUoDd7pvt5/cwvU4mYTKzZqVZKZQBe\nC+AaAHsBfEwpdQ8RvYaIXsOe+m8A/JNSilc3PBnADUR0J4CbAXxWKfX5ta5JQitNPEy17PBpR0qp\ncRehySzeMJrSYJ9qT8pcKvwYBnNLo7EGIflE3THBM+abv6/9HqthqhcqyUgoKHAnEq7MbISZanOD\nObXYx/7jC7j7sOu0rQT9NxvFqRtGvhLKdGxUoaJ3EwzIV4bpXrKajNL7b3gYr3zfTc7jjcTJr6Gf\nZGZpUmx2xPrji3uP4so3XOvI7JRSGHg01TVTPWanVNttp96lHormz3T62qACbrHietSRAMCffeFB\nvOr9rj0JTYTU53cj2/tFrC9a43gTpdTVAK62Hnu39fsHAXzQemw/gOeMYw0roZUQlCpvqDSh+nG/\nprr5vTcoMNVOR/q8Gx48jsdml/BT33OZ8XjPw+KZTKklP8j9ka5voqJ+fLG3eqa6nZLzuFeTHGhJ\nN9TwlzFqqhd6ge4TPqZ9CPnEKJpq/fjs4ujFPCFNtVc+YZx/OWAYJShYC0JTQ71tIwt+/Y+Q6chX\nz1QfneuJhbyhAU0++dCkYRJsdsT64+CpRcz3MpxeGmBnt3EHSsbY3xULWB+mGiiJFu6Y6K4/IfmH\nm51bmamWWPjTiwN0WgmmO6Pt9wBw5MwyTgn2vg7SA/IPybZFTCa2zUTFVuUg+hwO23hwPe5qNuwP\nff0RvP1LDzqP6xtslO4TYaa6uik98pXFwejyFaUU5pYGohHTzmO4+4TsIItM4wqa6oXVONWVoyQ5\n8cMwvb5Cv1Aq1Me0n15ahVPdXzkoCGryfZvIhhcqCud/qKBMPpfS+c/XUPtwarEPpdxr2Tdswhxw\nNLlMdUSERjNwzGOzPb3h+WvHBS9THRi4pMmQkKbaZ88lpv2nP3AT/uhze0ddOoCVNeESqRGd6rMP\n28eprthpn8PhFketzak+sdCHRGb59Kb8pvJrqqVKZu0w5eLjeaFGTi0t9HMUKqyJDfap9o0pD063\nMtevHasza5B/jNT9I8hU+zMFvkpy/f6zq3GqBw1jY8M3JnuYPs+jtNSbWx7gJ95+Ax48csa7zn5W\n4NETbq/aRv4hvMbD9Jqb4PDrr+Ufq9FUV38b+3z5mGqDTY8ayIizAE27Nzk7GrYZ7rE/ueZ+vPf6\n/atay6KW7dlBrsdmazZdOhaWk/nXf3y+jwMnF1ex+rIpgHS+Qprwfp1FdAP4V77vRnzh3iOrWkvE\n5mEbOdXlV/U5U06kzi7y1RRxnVzoi06Ydl5sdiyUrsqGcLh9TDUwOot3puo/KrUU8zHt4ULLykAH\n5ABeTfWqmGq/U1o7dZ5hAXxN9u/B6VyZHNScXoX8YzHEVPu6l/BMh6/7ygjdMw6fWsLdh0/j5kdO\nOq/RuOqWA/g/33q989peoM+2j+kdrs+2n2lfbaGi9HnetpGBbFJExCSiXzvP8v0oETL6PpC6f3zp\n/qP45/uOrmot2tbbttlbBzOEZA8YTf6RFcWqsotAabfDTLWUqZU11YNc4av7ToiF1BFbG9vHqdby\nD4/D4YtmAXfDXurnuPrucMP2E/O9oHzCdriHYartn/lzHfkKe/+FEZ3quSWZMQBCExWbz7Od57Cm\ntzIqtlNdh1h9AAAgAElEQVStu3/0spHlKwse4wwMJz9wx3z7mVIdeNgbjH6/1Rjoppf58PIJfs69\nQc0I8g/9+NG5nned+48tYHlQOIzPcoBZqjMonrZ55Tp98iHzcaWa91vNkCatd7fPs3eUfcDxj4iY\nRPiY6mwoptq957Jcnhy4EpRSNZngC2ZX04a2/Nkn/5AntK4muwiUssPQnilNd/RlBLI6A7oxA2oi\nxoft41RXTLXPYbX1pvzmsJm4a/cewS//ze14wJMa72cF5pblG8zXGWEQMhDD6H0DwzSWRuwAoo3i\nSEyp4dTJxwrlst++oIBXdY9aZb7gSSOG1m+ef59TF2DaPUHZ7FJ/pLUDjKkOFCqGq92HDwp8G4x+\n/OgZv1Ot20fZa/Ff436mN1So6OtTzZ83aj92pVTtVLtM9cqBY2SqI84G+HooDwI2Tz8m2eWsKFYl\n2etlBdsnrCzoKjpOmUG6fExev1pVdhEoybZR6mAAv/xDZ543akBNxPiwjZzqkqn2OhzWxctvbNup\n1r8/ekLWXp3SaeUR+jybEg+/w+rVhHvkE8DoDsecR2sKsO4lTrqQyw/8qTh/eyP/+kc10iFNdc1C\nWodCrIf+O4a6l7hMdeVUr6X7h7UOpZRXnzdcoah1jTNNostUl78fO+P2XdXQ08/s87Ls6V4S7PAR\nGP7iK2Y1AkdbgpLleNu1D3qlT0uD3FuQ6JuoGDrHERGTiN4KTLVYHBxwSvNC1fLBUcD3KB9THerY\nFNpznGPVr+L6c4XTS4NVzabQU3ydPtsB+Yfetx35hz7HYx6wE7H+2D5OdSX/cLS0HofD1FTLDp+v\noOHEfN94b45hhr+4afMAw+fRZK3FqdZObIipttmEYJ/qgIHzaar5a0bVVS940oj8c0bR53GmmhtM\n3g3Cp6k+syxXhAPANw6cwkvf+VUnaNOOoHOOh3RKhy7GDQSO+j2CTPVpH1MtXyPDjLIvfx5OohUK\nfO84MIs/u/YBfPE+udCHt74alqmOmuqIsw0rFSrKmmpNJAjyj0LhzPLqJXuAu0f7mN48YDP4/ekS\nOWGmOivUyJLJkHyl75F48MdsUqzWrUf5x8Rh2zjVac1UD7dhG5rqvpwaP+hzqhd6zntoeFm84PCU\n0R0OfmOPOgBGyz/EQksPixruU70yo+ArVARGHwATYqp93TMGAafU99342zvdP9h7zHk0etfccwR3\nHpzFMctxXVpBWwiE050++VDoGh9VU10Uqna47fO17LlGBqFszFATOf2OuO8efeDIvLh+XaQofZ6v\nGDcU1ERETCL6K9jDQV54O06JTmleOqWjtujk/eLtfceXURqmDa1ek71GwMfC6wzjaLK9ft7IV3yZ\nr+B+5LHZUf4xedg2TnU7lTXVvh6+/MZe9rCQh07JTvXJBc1UC05pLT8Y3kAE5R/V+9jdP0JM9Zfu\nP4oX/PGXvAUl2gkMa6rtaNzvcHBniAc1nOl1NeHN76My1b7uGVle1I6wdEz6bPu5vgDHNn6cRfUV\nvtzz2GlxLXVLPQ9jI70mpMkfJvCyr3F97Jin4Pb4Qs+rgVz2MEtcejXSNe6TOLHn2fKP2ql+Qq57\nmB2KqZbZo/Ln6FRHTD761X3vq2nRA9OMYyswvQBGloAssCFlzt4yjKY6OPzFJzmUmPbyuaMWmPOg\n3razPc1Gi061vP/1c/85jtja2DZOdc1Ur6b7h5epXhI/S8s/CgUnyvdFrcO0FAuts+cxioDrVD90\ndB4HTi7iKw8cF9c/55F/KNUUDYba/g3LGvCnBZnqEZ3qeQ9THZLYBPs8e4IC7nP1PU4pILMeSinc\n+9ic+HkrpRHLYyHHXw5QCmuD5BuRrd2ru3QUqg4SOY6cbhhse51NNsZySgNBgZmpkZ3/UDGufY3r\n93jg6MpO9bB9qkNMe0TEVsabP38fbnjQtfc+vW8/EEA2LKrUPaN83dwqs4uASzj56kiG6YrFX2+/\nv23zlFL1njRqsSKXi/iCAqn7VS0N8WQ6o/xj8rBtnOp2Kg9/adqNhVLj8oZ98NSiqB3T8g/7fQB/\nu7FQod8w7fZChZZ2UKDfw9dPtO5TrcxiraxoCtvCmt6Avs3jGIadatnA9bIcX9t33PkbNN0/bKfO\nH7iEeoGvhqnmTpfEehyZ6+HEgtwneZgOMS4LPFxQY1xLXJMcCAqOCsWKukhRWos/cBxOImRv4voa\nHOUe1X+nR08sin3mT7FAx3aQvfKPQDYgImIr4wM3PIwv3PuE87hP78vtoS+YlYroVstUc4mib//z\nMeblMf+e458w67cnozLViz0uX/FlviSmOuwPxELFycO2capTz/AXfSOFqodtfZh+j8V+LrJ4/DH+\neUqpIQvl/Dc7dzh494ZRWDx97LoHjooDXnSfasB0vPpGoZnlsA6rqS74+pvnhAycpKk+szzAz37g\nFrzifTfhoWPmVL+FutDPDAp6bGpjsLAlIAXyBThO9488bKDvffy0+J5As8E4EqFQod+QhaK+oMYu\nOuJ/M6lY8Qhzql1NtSxxMgYEeVp42evivztMOw8cnfU3TPv+Y+7Ux7CmeuXAN2qqIyYFeVFmGCX5\ngbdPdSHbfX7Mp6kGRmeq54eQfzh2ISh58+9VNQvskYwBfslePyvwps/tdepgFlfJVPvqXZpCxehU\nTxq2jVPdTuThL0P1ebY3bHYzSx1AtPwDsBwv7hR5+lLan23/7iuac1m85ne7UFGv6fh8H3cdPg0b\nXGvtW3+oJV1Q7zskU212/zDP/8mFPl72nhvx9f0nALhMvC+VyD/Dzt6H2qX5mN7MODeyUwfIbfXu\nOTwnPhcAlpj8gLPwQw8ICgQoPrbbFzgCwDGhWPFIgKleXgXTG2yB5WPauabaEzgCwIOCBMSQf1if\nN8zwl8hUR0wK9P5lZzMB7lT7A0gfi+0bngKskan23HeuzR7OHrp9quWgYCWbDQC3PnISf3ndftyw\n75jxOC+0tM+Xb8w60Pgd9v7X9AKP8o9Jw1icaiJ6ERHdT0T7iOi3hOM/RESnieiO6t/vDfvacUFr\nqvmNw5nekVLL7NjBU66u+oSHqeZsptNuLNjSTU6NG85GoPuEj6lOSJaA8G4VPsbCHZ4yrPxAXv8o\n8o+rbjmAex6bw89+3+XV55mvNZxqz2e47EWABfY4fL6Aw36N6FQ/Nic+FzCH9fi0gaNo2n0Ot9k2\n0h8UiPKP04yp9vWpDjK9w18/me8csPfwMdUAxCFNwZZ6Q3S4kXrQTxImwWZHjAfaYZVauvmLcv2E\nTZCprt5n1NkC8x6bDfiZarOlnrXnhDpmqYZI46QFfw+f/OOOQ+XYcNv+Lg7DtFuvUUqxiYqyrZQ6\nlJxZHuD2A6fE9UVsPtbsVBNRCuCdAF4M4AoALyeiK4SnfkUp9dzq3x+M+No1o1V1//B1IHCc0hBT\nzZ1qganm8g/T8Qo0uF9Fat9gekfoU50XBVoJ4V8+9Vx8SXKql+Weocb6g4M9Avo2D9Meckpt+cdi\nL0eaEH7kWU9ynguYrMEwDj1gXhe+MeXle8jBTygokAz0PY+fxp6ZtrgWfr35GJcwU+1ff9+z/lBL\nQEn+EdJUa9ZbKVN+E+7FPhyL7St29DHV0+0U9z/httU7veSXf6ymhdckYVJsdsR4oO8NUf7hcd6y\nYZhqK7tVFE2hn4+p7mcF3vmlfTg8a5JRQae0no1g2hNfBhQYjqlWym9TT3sm4d5xYFZc46LHZgPN\nvikFBdqn93UakgKXj95yEP/PX35drBWJ2HyMg6l+HoB9Sqn9Sqk+gKsAvHQDXjsSWjVT7W7KCflv\nPECeltdtJTh/R0dsq3divld/nq+YzecUJSQXyrUE+UrIqTN7+GbOsTQh/KvveBLuPnwaR+dMJpIb\nRJ9Ew3E4qmOthER9Wz3R0sdUB+QrtvxjUBRIE6pHz4dYAx/T7gYuhXfqpj5fofX7ggIid1T56aUB\nDp5cwrMv2V0913ytT5+n108k6wTrYlyBYa2WbwZogeEp+nNnOqnYq/rI3DJ2TbXEz1v2bDD6s6Vr\nPCvY+oUNkqr1+yQYbuBbvsczn7JLlH+cWhzU54SvhXe4ceU35c9pQk7gOGGYCJsdMR5oezKS/MOw\nO/JeZUsT+P0oMdVKKfzWJ+/CW665H1+4xyya9BEhfI2AabPCsxH8JIOPjOKP++Qfd2qm2naqQ0z7\nELMR/PIP928238swyJW3JW7E5mIcTvUlAA6y3w9Vj9n4PiK6i4g+R0TfOeJrQUSvJqJbiejWY8eO\nSU8JQk9UHAhpoel26qSC9I3RaSXiht1KCJeeN+O01etnBeaWMzxpV9d4H6BxNjqtxNvCaLqdCkWA\nCtPttP65WX/DxtlOqZaXdFuJMx0qz1XFVO8BAOw72jB5SinMLWU4p3KYJMdxqp14md6u8N2yXGGq\nWr8kU5hupwLTW/4/00kd+Ydefz0l01rLfC/DVNvtS96vChWn26no1LVSEh2mnJ1/yZB3W4mgqS6f\nt2e67bRn0q30nnPpHnH9y4Mc3Va1fkFTLa+/wFTLPcdAeb7q60cIyjqtxNv946LdUzjikX9csmfa\nWb92SjvV+gvP+qWgplm/u0GG1t8V7lH9/s+66BwcOLnoMNmzi32ct6PjrL+cmon6/PNl6nVJ658w\nbIjNjtgaqJ1qqaWbp4iOO+C+acMhTbLkVP/5F/fhk7cfLt/Dzi72/MNffNlB/R6thER7XhMJtj03\nWonKBIaUXXzi9DKOzOmBV5bkMNCnug5cPENtyte49tBen/3+C73IVG9FbFSh4u0AnqqU+i4Abwfw\n96O+gVLqPUqpK5VSV1544YUjL0Czmkb3gOrn2uETZAq7ui0xtZwmhMvOncZBi6nWrbouPGeqfK4h\nnyjfc2e35S3imhIcprwo0BWcUs4m+nqJ7ppqe9evHQdbhtHPC5yrHQ7lrn+m03I6O2imt5W6DndW\nqNrJNWQi2knpSE5145Tafar1+lMhG5DlBXpZgd3TbeeYZlymO5JTp9BOEqQC054VRb1+qaBxppMK\nG0z5//k7u46B1kNfvutSzVSbjucgVzULzDeAfsApHeQKXeEc69+nO6nxHvo7A+X16E5ULH+/eM+0\nw1Qv9XPMLWe49Nxp5/P4NS59N6A8/9I14l1/XtROtSRf2TXVwrKnbeQVF58DpYCHjpkSkNnFAc7f\n4Qa+OjjaUa/fdS6koPIsxJpt9lqJkIjxwDehFQi01PN0PAL8hX78NTaLet8Tc/izax/Ajz37KeJa\nVurz3BYIFL5nStnRqToQt46pJvPlax4gMdV3HGx0zCMx1TrzFSgGtZ300PAX/X1GnTQcsTEYh1N9\nGMBl7PdLq8dqKKXmlFLz1c9XA2gT0QXDvHZcaJhql2mcCrBgO7otcaJiK03w1PNmcPjUknET6c4f\nElOtN+yZTipOVCQqWUPJQZYcYB4U5IUSA4ZzplpO94+sKNBKE9ZmkBnDygHcM9OpP1tDG4fpdipq\nqlspVfIP1wiL51j5mXb9PXfPdBzjoeUwjaSnWYs2zudMuXpl7pRKTG8rJbQTcqdz5fL69RpnOi1v\nUHD+jo7TnunQqSXs7LbwlN1l4CVNBhSd0jpTIAderSookORDXYEFbq7x1Cv/uGj3FI6d6RlZHK2n\nvrhmqpvvrt9nRzd1vpu+rrstOaiRshl6LfqYJOHZ0W25THX1WVdctAsAcD+brKiUwuzSAOfvrK5x\nQaKlnXhJTy9t4hOGDbHZayVCIsYDbf+loreGRR1BmqAnKgZqjXhbVgB1YP4fnv8057lAyVQ3JElz\nrChURcoIxFcgyM08e47+7BnBnuisWkIyU33HwdO1Mz6aptp3jlfOBmSFch3u6v3OeOY3RGwuxuFU\n3wLgGUT0dCLqAHgZgE/zJxDRU4jKy5GInld97olhXjsutANMtWbxJL3mjhBTfd4MskLh8dONBEQX\nKWqnmt9gmg3c0XGZ6kHFlLZSOZWl1yg5Rc36XYdj11RLKFRUlSbZHYijixTPE4rojKBAMBBtj1OX\nMdZAmpyn309i4XdPt0SmugwKXCOs04g1Uy0FBR1BYpMrpF6mWnnW3zilPk31+Ts7DuuRFaU8Qlq/\nvtZ2CvIbfX2KTG/eBDV2mnGQF55rpLkefeu/aPc0+nlhbDJHLKfa7CLSvCf/DP7Z5frdjU4KHPXv\n0vr1OdjZla9xALhkzwwAs3j4TC9DXihcsFMKfKv1d6XslT+bNGGYCJsdMR4sebrZAMypDhQq+org\nbZvB90+7UFHbAcmOAmUdjJYcSsXNYpBb+IN0Q7InEDbTlX3qCUH6eTvc7CJQMtXPfPIu47nN+v3D\na/wSG/49/Q63ff6j/GNrY81OtVIqA/BaANcA2AvgY0qpe4joNUT0muppPwngm0R0J4A/B/AyVUJ8\n7VrXJCEVJio2m6RO7bOoVTulXdfh0Jrey84tN2yuq9bTFJ9cyT9Ep7SbujdYXqa4WkkiGohGPiFr\nkgE7NV7JV6babku9av1Sm0GdttPyD6nQb8Yjn6iZajvdlofXPxOQJuyZ7rhOtZaaCIGSZmXOqZzq\nQuhTPdNJnZ6nmT7/aeJh2nX3GEl+0/IGBefv6OL0Ut9s3aQ14cL6tVO9q+vKV8Ka6oa9l7qX6PVL\n8omZSn7DNzN97OI95XXMO4Bop1rSVDdMtRQU+DMd5fWvgxr3/Eua6lqiNVXeo/b0TwCi7Ehr3Bum\nmt2jAx04uvIbLv+QBjlMCibFZkeMBz5NtWaBAddJHAgZJvt3m0UNaar1/d5JExDBCarne1lts6UW\nmnqPMEkxzlS7jnNXkOwB5T2t34/XwjQ2u1MVA5rf7e5Dp3Hl5eca30eDy1ds++UdJmXJFs1j3CbJ\nLLZv0nDE5qI1jjep0oNXW4+9m/38DgDvGPa164G2wArWmt5Aan9HN8WBkzJTfcGuclPmI49t+Udm\npMb9THWWFzX7Kk1bnGq5cgz9vHr9QneOc6b9TLXWqfEbWMs/zptxi7gMTbWwxnaaIPUw7boIzWyD\nZDLt/axA9bGMqW6L8g+uqeZ/N90p5ByhM4VZKOca4TJLIKzfU0THrxF9fnTrRs5UD3KFpUFeO2ra\nAZY04YsWU21MnWTSBJtJ0ZKeMigQmN4g096wNnVGhDHVQJm+/faKpdE9qi8RNNXLjibZ3Zyn2oko\nN5GCMqWUsX7eiUCfm51VALKcNedYX59doXhT368hprrexIXuH9Pt1LmnJg2TYLMjxgMdqNsyjn6I\nDQ1qqs3XNTavedyWJtRFhXU2zWJ6+1mdXTQCcSZ5c45xTbXgODc1Mtb6VeNUG3KyvLHZOFLuhedX\nNuKhY/NY6Of47qeei7+56YCz/y2FNOHe7h/+c8z3cjcjUP5ud8WK2BrYNhMVxaI2KyXF0zF1anmq\nLWiqTaaUOw4nF/pIE6o7C/B7j8sn3N64Cu00EZleQ28qMdUS01sz7W2xpV6baaq5gdDyj4apZgY0\nwFT3s/I92wLTbshXPEwvf3++/j0zbSz0c4eFbLGgwGCqLfmH1JJOkk9o+YrItK8gP5huu6lEznoA\nZuGL1uRLmnCdqt0lFMrVqVBx/Q1TPbSmncknALMVnstUNx1Anphbxo5Oij3COdaB486utAk295uz\n/qKU39gtGfWPUwH5ii7qXOq7usaOICnRg18ukJhqFjja688C64+I2KrwyT/MIj2ZDQX8el/AZFHr\nwuFuy2WqtVOdkCgRnO/ldR1MiKk2i9LL53Vb8p6jJY5S/U/DVLvr13s3r4XRHbKe+ZRdaCeJExQs\nBCZCNsOkhpd/mHUepv+hz0ksVNya2DZOdR1NS5pkQT6R1Q5H6tVUN05d87oTCz2cO9NBu+VG773a\n4Wg5ExW1/EDWJDP5gcT0BoKCXVMtLA5yp12gT1OttXDnCkx1beC6LcPJ1d9Tt6STphVKhXJ2UMAN\nnD4/OiVo9zE1u38076mlIucImuoeM9A++Uqayprqbktw6nIdFPhZj/OqDhPcqR5U8hVp/dqxlTXV\nfqZdM72ph+kNFVpqVnlZGE70lIqpPsI6gJxa6OO8nR0xqKzlH4JTGmqplxcF2lX3GCmlPC1ItLim\nHTD7e2d52VIrFTbxWYep5veoWWgpZTokDWdExGZjqZ+L00N9ExW5vQqNKQ/NQJA0yXt2tHFmObMk\nb+XzWklSShxtTXU/wznTZpYJaPa06aD8w1O4nRLaqVv4nxeqDprNgWzl+0lECCcEpD16sZc3RIin\nXa5LpAWYaqFrmP3cKP/Ymtg+TrXIVJs3rDRGWRdx2XpT3WmhfF1z7MR8H+fv6IgspHY4ZrpSS7RS\nPiGm7/NwS72GqXadop1TLShlGz/d/k7QVFdV2+ftcFmDWm8q9hluJA0S0ytpW7XjPCMFNVpTXRVM\nzlt9TEtWX9JUl2sMMdVT7dTt8FF1z1hR0+4pVARsfV7ZzeXc6jxyuUYd1EhMu5Z/jNiSrnTUE7St\n60f/2EichGyMln8MzOu/lRB2dltIEzIM+EBnOoSg0tZUS/IPH9OuA1Wpw01IolXLP6wKfH19pFbx\n5mytqa4kWsIGJmuqy5+3SUu9iAnDX9/4CH7i7Tc4Dppv+MuwTp3TmSlvhkmJRMJMB3mhxMmw2u5x\nm1EUCov9nHVs4mtsZguUx6T7UZbz6c/ix5RSlVPtEiF1drGyC3NL3Kkuj/mymYuDRhOeW5+nP0Mp\nmWQABE01+93WVOu1xELFrYnt41QL0+ZCG7b+ketNNRqm2nXqTi6UQyVScj+v7izQaTkjnAdFoykN\naZKlbgSNJtn9btpQLfT8TK+hqV4eoJ1S/b3FSmyffCL1dy8Rh78EmF7tlOr181RXlg/BVE+FC/0k\nNrpdn3/TKPqYXq23nfFUkrcSwp7pkvWwx2L7upfU8g+hJSB36qSgRsp08AFH9vrtQlGbqdbrszeR\neviOyLRX13hI/tGSmfa6UDEX1q8lQkJQUMs/BmZQw9fPnePaqRaGvzT3qCS3KirZkVvMGhGx2Xj0\nxCJ6WeEwm74x5SZT7TrO9TGBqW72RZfp1dJB3lZP32O1xJETCQObCOEsud7jBDkWL1QUiBwt0eQB\ngn65JP9oun9o+Udjs/Wa0tR11IGKqRbqeLKiHN0u2V/zZ3+mwJZ/6GPSgJ2Izcf2caqFkda8RRYg\nM9Xyht2k2sv3bF43tzzAOdMtsbOGzYIZLF5WoBPofiAOTwkGBQ1TDVip8cLqPsHXvzTAOVNt0eHT\nEbOWTxjpvfqcyPo2eXiKaTBtTXUroXr9Z3qZc6zOBrD1N90/XCPMNeFyS7ry/EtGWJpoyVsC8vMD\nlA53mhB2V0w7TyU63UvY+rX+XZJ/6PV3Wy7Tztlv6TqQOtzYhYp8AIx2nAF39Lxm9eVrPDw8JU0I\n7ZYceOnR81KHlXr9ArPk01T71n9qsY9d3ZY4tbLp0FMFlVahYj110zr/ERGbDS3Rsp1gX/ePkPyD\nB9XSsZ0C2aTvRy0d5G319B6pyRC+Dy/akj2JyBH2v3r/lvreFyzzJdRhzIjZufI9dK2FYbN1UJDI\ne9xCnzPVrs0OkQz8e9afF+UfE4tt41SnCYHIlk80zCtgMr2O3nTgsngSU5fpgkOBGV8e5GglVBdP\n5ZaB8DLVudxzM6QJ15G6dvjsoMDH9M4tZ9g11RKlFf28ZI+1vpgvU8sP7PXrdJs85tt0Su31J0S1\n8RaZduEc64poLQmwDVxSrV8avtOkJiWm1M+0S/Kb0ilN6mI+XvTCU5P2+pfq4TWy/KOduhIJoKzW\n1yyQfV0BvNDPDWo0Kytd4wAcnTO/Vvl54O+xs850sDXmyts2MmPfTVp/MHDsyoGvvj7sNomnlwbY\ns6MtBwUD85p0zr9QTBkRsRWgi4mHln8EmOp+Xoh2GSjvVaklHS8uB5qid35MkwmhOhixuFyQf9SF\niqKmurS/PpJBSw57wjEdFHDJnv4sve/bQTWXr0iDc2oizTjWnBPfREX+HhpR/rG1sW2cakBg3HQ6\nveU6fHlRjjKVndJmJDd/H6BxbqTOGr2sQLfFuj4o22Hyj8mWem7amuqBIFHRBWOcqW70t65TcWZ5\ngHOmZaa6r9dfO4Omgykx7Q3T6HfqxEI/zVRXDpMh/6iY0rZQKLfQy7Cjk4rfbZA3Q1dygWmXHL7m\nGgloqjsu66HP/0y1FltT3WZOqaGptpxSe4PR15bItAvpznDbSM2iyN0/9PUt3Te+PucrDX+pBwR5\nmHabxRpOU70yU23WDQywq9sWs1d6M6vlH1ZhcLslDziKiNhs6KmFjvxjUBUqWtcsJwEk+ceMUGsE\nWEz1wNwDAB9TXTmQqaupXlyBSAAaUsC0Qzpzl4hr1BJNM7to7jk9oeNRt51iV7clMtWtijDj2TSl\nKk24UGhpdy+RWhXOdFI3G2Aw1R75R8+Vf3x133Ecnl1yHo/YOGwzp9p0mBqn1E2N601ZO4MGi5f7\nmercPmbdHLp6WD9Xg7NgfMMuilKT1U4TJOTTlMnDX9KEaod7MaCpziyH45ypNnP4zKCgw7TAJgup\nq609TKnQJ9nVhJvOeMqc6jPW+rn8xiz0yzDTbYkscC9r2Fz7dZnBtLuO25TA2tiaZDsV2koIVLHt\nw2rCl/t5FczJTmmnpZlSaRNJnA0rdP6dQkUhKAPKjdDWOeuiTmf9Kwx/abdkptcstHTX32QD+PoL\nY/1G4JubmnC78KrT4oWWnKmuCqM83UsaTXV0qiO2DvJC4dh8Jf/wMdXW4/p+l4rL64xrQqLDKteR\nmJrqMyJT7RJHwzDVM23hfizYwCuHqa7u1UTuJqTlH5I9b1WyvbklV74ifV4vK5AXSmwJ2KtrTPya\n8JlOyzs1Ub8/hz4nC4JT/dq/vR1v/+KDzuMRG4dt5lTbzoHJgpmDJcpNWXKq69SS4HgOiqZgTD9X\nY3kQZnrbrUqvJaxRM+PyRD+Z6dVMKSBoqlMSmbq55czQhNvarm47FTupDAqtSU5ENrqdEhJyswFA\nc/c7SCsAACAASURBVP4dpzRNRPnHIBC4zPfyqmOFLF/pthIkgjOrpQm2prpm2oWWgFpvKxftWPIJ\np+DN371kup2KnUF0L/M0IRTKLCLlLRlDunsxKBCZ6oIxvS57bwY1zXvahYpm3YBcTKnXKbUE1IFn\nHTgKhUU7hboHo/uHHejlZqZALiaW5B/N+Y9MdcRWwomFXn1N2g6azuDY3Sd4jYkk/2inZZDrtNTL\nC9HmNfKJ0rnkTrW2EdKAp7oORijODk9UDLRBzVn3D2E/FetgdDFiQtgz03Yke/qYbWNrpl1o46qz\nARLrr9sFShOWtdTSXiNfi9SnetHTVjFi47C9nOp0JWmCzVQntTOyLKT2pUKOumDMs2F32ykSkqUJ\nkiZZ/9xKE7RXCArsdXBN9aJHU22PjJ1fzrCTMb12ERpnqm2mty1E8Y0WrWwXGJR/5O453iHIP/R3\nS4T1L/YyzHRSsftKv2LaRaZaO7oeTXWnVY7XlYYPSH22efeJtuCot6ogw17j0qB0qiUWe5Bb61f2\ne1bDd4TuGVKhonbKdwgbTFao+jq175tQTcFylqOdEjpCZ5xB0VzjziCEehM007Wh7iV6/bpTijnV\njJ9/KyiojklBgf4bSn1xy1aO8oCdiIjNxFHWR57PKwBc6Z+GdpZ3dlui/KCdlvU/RuF2lTnlU2Tr\n11T3ynmC/EO/RykbszXVfvlH3QZV6Mbjy+4CjY217Yl+XpqUNkpafysh7J5u1/3s9fkAUAcauRgU\nuOvnHb/4+wBcaiaf/51C4KK/N2C2mQWq9n15gQePzhvSxoiNxbZyqu2b2dEkW2mikqkuT5E9hlSn\n9u0bWjvHchFUbmiqRRbMcWBY2skzGKORf9iOc1Kn6fhURa2J1e/rFsPJa+xnpbbbV6DZEphSvv4y\nKBCYaqH7h2ZKO60E3VZi9alWNRNtr3++l2FHtyU6TFp+IDmsev0+iZBOJdrFlADTVHvlE+bfTU8/\nbK6f5thSP8d0p8kGFM7fhkTZwqBoBspIQZncrs5k2pczW1Ndfo70N22nCQtqeDYmx1RLZtoHuao0\n7YnDtOdFOVa4bZ0P/Xod1IQ01W6farZ+63XtNPG0vfQXE5cSp8hUR6wf9j4+h7sPnR75dXziqc1U\nc6daGk0uMdV13UqaeCRvfk31zqnS/s4tu735JZunpYk7ui3nGG+Dqt+Hfx7vOOUOOEu8e04rIXRb\niSM5BIAkKWuReCGgXlNC2h4KmnCxJWB1jgPDpKTzP8gLUZYHNLVTC/3MmTSsVJkhOHamh1Fx96HT\n+Oq+4yO/LsLEtnKq3fY6NtNrOrNpQvUxO7Wcsg17YLGXbS6tMFi8kqmWHG7tMPmZXnIcSDuVZU9U\n5Ey1aSDMwRiSU61ZysJoN6Y11R4WMnU1yQ3TTs5gG3v9knwFKFummZrqwnCYbPnEjg536upDKzDV\njYYwL9yNomnPFEglCppqwHX8c+v64e+5ElPt14RX+kKriIanLdueSnifU2owvVbXk9Tz3ZYH+hoX\nrpGsusb138YoFC2QCvIb/d7tajqaFNRMVYHeYt/NxtTnWDhXSUJOnUJPS7Sk9bP+3INcRTYoYlVY\n7Gd48+fvM+43jTdevRev+/u7R35PPvHUlmss9bO6cNvsPtEw1W6NQ8VUpyS2sayzW5nreLaSpLTZ\nLLs44H3jU1lTvaPTQmLdq8HuH5XjXBMQ7CvooNqWfzRMdYJOKzEle4xNb1tSSy3r1EGBXRwPQNZU\n20y1p1DR1VQrcUYG0NSVKGVmoPnfXY9VHwX/8wv34w/+8d6RXxdhYixONRG9iIjuJ6J9RPRbwvFX\nEtFdRHQ3EX2NiJ7Djj1SPX4HEd06jvX4sLLe1HV8ZE11UTsGdnsdHSFrNrEwNuzc0FRLTp3LCmqn\nNBEMhJmqluQT+pgZFBRNuzFBw817KNtG2NRUm45KW9Cb8ZSa69SZBrOfyU7Rjm7L0FRrTbheP3fC\nFiymOrNYg7JATWhpmDeSAMkI10GBsH6pkjxU6KcDEH1ebH3eTEcOvHj3D35um3MSkA9V3VIk1mmH\nUMlv9KkWik/bqRzU9AZ57eS6azQDNuc9q81MYpbSJEEnTYzAkQcM0+3UG/i208Ryjvn5T5xNsGsE\nNTyYKGqmHTA38YiIYXHzwyfxri8/hFseOekcm+9leGwV3RuOzDVMNbexSiksDni7N4FF7bSEtm2V\nptrqrKEdTd9QNKAMgG2n2ul7n5s2DyjZ3FZC4sAxSVPN60jKz3czzbZz3NiMsmuI1Gdbaq2aF2bm\nkR+r26BOS23zzPUb+0DesP52oeiAty0cuPIPbX+5LJL/nR4MONXfPHxaJASOnulhoe/qtJVS+NQ3\nDtUyl4gw1uxUE1EK4J0AXgzgCgAvJ6IrrKc9DOCFSqlnA/hDAO+xjv+wUuq5Sqkr17qeEMoN29zk\nAdbDV2Aaxe4fBZMfWOzrgOku9XM1ellRdf9wnaJ+Voh9qnm6yh6MUWt6hSIubQQ0M8tvCINFtbtF\n5FXBoVQolxXopk2hn1soJ/RJ5ppqTxFmSFMNlH+3gcWU+ta/0M+wo9MS2Vzd9UE6ppkIm0VpjHDZ\ngnAgHJMq4QuWDSgdN5nFtp3SpUHZIUaU31TyCX/3EnJ06wbT3krEoEy/pztRsXH83boB9t3YseWq\nw03jOPN0c+P429+tZL9daUU4KGu+21QnFVoCsmxSLp//JHHrBrq+a4RlA8q1RV11xOjQTuSpRXd4\nx/KgwPH5vqOjXQlHz8hMdS8roFQzrZAfqzW93ZbQUk9V3ZzkFp2Spprfj7u6bbOlXsDmLfQzdFqJ\nSCrVmuq2K5/Q5IrUPlVPP7Ud+KYYMUG3nZp7pmoICNuuaf22Xj8/XwvV33NXVxheExj4VrPwHvlN\nJ00cxx8obb1uW8hlkcMw1Tc/fBIvefsNuPlhN6A7Pt8TsycPHVvAf/nonbjmnifE94wwMQ6m+nkA\n9iml9iul+gCuAvBS/gSl1NeUUqeqX28EcOkYPndk+PSmUp9q7dRpTfXyQN6UedFSXpSaJlNT3bxu\nuWKqU5Gpa6QVku5Kkh+ENOHaiBGVbLXd/cNoN2YFBdoY6edq9LLccOpsh093/5ACF633lbuXuJrq\nwjrHfqfOTsXlmOnK8omG6ZVZSG1MfUFNO03EVKhUqGgGBeQ4ur7OIMsDzVS7fc751E13/Xx4kKwh\ntJ1S7rBOtVPrGmfdP6w1DqqiVEDfU3z9RclUCy0Ny/WzAkHrOtHDXwbiJkhicFWuP8FMJ3X6VOtz\nKLV55Ey16VSX8g+f/IaPl59kXfWkZBfPRuis22lWCKehnRpeeKgf/71/+CYePbEgvufRueX6fuX3\niNOZQnDqdnTdiYR63oItudL2e7qdgshkUQfsftw11bKGv9jZIeaU9rJagmaTMvVERYGpbuqX5BkO\ndeGzEVCj/pyyUNEdXuOTyjXZXVtyqDXhqWN/e+wcA7Bqa5q6IUdTnZX2XHKqB7kSnereEE71DQ8e\nA+AGdEWhcGK+b9hQjZML5XUax6IPh3E41ZcAOMh+P1Q95sMvAPgc+10BuJaIbiOiV49hPV7YPTez\nwnZKzZuSM9VGajmXU/u1A+lhqvvOhs1vMHmiYlNoJhShKZOptjsj6M+xHQ6HKa3WX+igwNMuTbek\nk45xp0jqsKIZBXuYBoB6XLSrqdZOkT3Rz6+pLplGj3xCr18Katj59xeKyvIhXSVvZwo4U+p0kWCs\nh60J54WK3NaWhZby0BgdRLnFiJVTWun8+9Y1otfQbSVeTbUkieFBGddG60JFf92A3FKy3gSdoAb1\n53Ralqa6+tyE4Mg/bN29yzr55CsFuqzQ0i4E6niY9knCJGUXJxl7H5/D/mOucxNmqstjTzA5BwDc\n/8QZfOjrj+Ln/uoWoyuFxpG5Hi7eMw3AzPjVnSmmXflH4/C1nGmL+l6V7BpQBtqufKKxNbum2lZL\nPb+cbLGX19lKh1TKzD3O3hs5ASTZw44diLMgvdu21p/7bX2ZpZLrkGr5Sqfl2JqmpV6rfp/mPatz\nbGUDgCao6bZTw/HXHT7O3VH+PbksshnpnmKfcN0BwI0VQ21nQmaXBsgKhaVB7khD9OAyu9tIhIwN\nLVQkoh9G6VT/Jnv4B5RSz0Vp4H+FiF7gee2riehWIrr12LFjq/p8W1vJC50A16lLKnasnZLQp5pp\nkqv34YUOiXCja/mHnFpmExUFxz+tKrGl9He36oxgrr9gTnWrTlHp9zTS99X7aBbC1/2jNyi8THVW\nGZ1Q+t5mPHURZKtySu2RsdwIO4V+qXv+lVJlh4lUHqxSFypKLGrBz7/AVKdl9w8pKEtIMwr+PtUh\n1sMoVOznmG4Hupcw+Y0zkCXVw1Nkpr3TkuU3KUlMdXP+7bHog7xheu2/97IlX7ElNhLTq/9uraTs\nbDIQgpq03iBNFltnY6baVjbGKKa0+oTnXJNvBlG9LEe3LXcG0QOOJKZ9wjAx2cVJxm9+4i688eq9\nzuNatzobcKofP2061dr52398Af/xr29zNNBH5pZx6bmVU82O6fcT5R+sJzu/54BGYtexs1tsj+u2\nUllTnRDOmWo5LfV8hdvzjKlOE/O+6ud5ee+L3XhMe2IE6Xm5f/uIkJTc7h+1PUz1ZFo5c2fLSLVj\nO9NNHfvbt5hqe/1Ndk4OarqtxGl1CgDnCQN29Gd9x0W7cOxMD6et62t5kOOOA7P1zxzHq8FBhXK7\nx+ggTho2E+FiHE71YQCXsd8vrR4zQETfBeB9AF6qlDqhH1dKHa7+PwrgUygNvgOl1HuUUlcqpa68\n8MILV7XQNJE1sXpkt3ETMSMw1fIXQfGom6ePJMezln+I7cY8muQAU8rT32WaTmYTS6aat9QrYLIG\nhfV+8vAam6l22L/UrYzmhWa2jIOf/27qGjjefcJ2ZiWmkbMomlVwW9L5+mwr5vibhq9ev0fTK20w\nphF2ddohTfV0xy+xkbp/aKdUF4pKQY0vpZlQ2UKqZG183TNsR70wN0iuqa7kH6J8opJ/2N9NP0Xq\nxW5mOkz5jQ58gZKd8Qa+gvwj9WQK7KmhrqZ68plqTFB2cZJxYr6P4/Muq6yzhhLjrPeZI5ZTra/t\nVz3/abjp4ZP4yM0H6mN5oXB8vlc71dzG6kBz97Sg6a1sdrfljsmuCxUdpre5H20igWuqu20pc8eY\nXqvjkc4It5LEyHyVJEmo8DnMVPvqeFJN5EgsfCJnVX0tRmumuipwtuuQAMZUWyRJp5U4pIv+vLYg\n/9DP2yPIP/SxKy46BwCw75g5BOb2A6dqh3nZGihznGnyl/vmMc1U8w5iGvc/cQbX3nvEeXw7YxxO\n9S0AnkFETyeiDoCXAfg0fwIRPRXAJwG8Sin1AHt8BxHt0j8D+FEA3xzDmkS0raI2nu5xWGDVbLxl\nEZTsMPGiBc0w+xy3Uq8ps3jaqbOnQ5mOrsxCpmnJ4tlOqf4c+8a0U/s60Kg/y7N+3T3D171E9wy1\nx6/zcyx3dpDkE1YLJqtYxiyiK+o16Od7mWrOtNetiVStsw0VirqFrmwTsRmFnA1PEVrStRJZE75U\nTVSUMh16+Iv93fRTUik4ZIGLzb7w62CqJTDVqQ5qyF2/3mAsh3U5y1doG+m2ZOR1A3ZlPc8GtFv+\nwHe6Ewh8nWCuqZ63g4Je3Ytd6LCSF+i0qHYOJllTPSw2O7s4yZhbGhijrjW0czJrHVNK1fegzVRr\np/qnrrwMCcHoQ3xivodCAZeeOwPAo6n2dP/Qmbu8UI7USQeyJlmj7XlSBuID7vCZJI/RNYQTOVbm\nSNtlwA1y+1UbzsYeupIxieTRdTe2PSyYPe+2UpmpFrKqfD+1ddOLfd3Vyx1s5UxoFeQfuhiUyy76\nVf1GSda4unU9tXJBKFS84uLKqbZ01Tftb4oTbaZaj7gHTKkrEJZ/vOf6/fjNT9zlPL6dsWanWimV\nAXgtgGsA7AXwMaXUPUT0GiJ6TfW03wNwPoC/sIpbngzgBiK6E8DNAD6rlPr8Wtfkg68HbipVObOb\naKot6U0bp8hmqn0jwHtZLrJ42qlr1zelwOam7vAULq2wix0M3asgPzAMRLXGRv4hO6U6KKg7O1RG\noChU9Z6JP90WZNpdp9ou5nOKKQW9sv6O7YSzua7xtp26Whud6D7JsvzAXofWrZNOJdrn2JAYmE6d\ntP6iUBVT3XIcf71+3gPd/t46mPAy1S33Gk/ZNe7KV+SNztxgrJZ0g8LQVLvV+i7rxLXpdt1Dbm3U\nvg4x0yvVDTgBrDzCvF9d4002yXYM5HTzhGFisouTirxQONPLaoeEQ+ucT1lMNSc+nphbEo9NtV1H\nS/eoluQfS31T/uE41VXXDcBiUTPm8GWS4yxn54BGPuGtwwi06LRtZdmxSe6GVE9UDHX/8HZzCjDt\n5PaiNwotLXJlsZ8xTbgbpAPATCVvMe2JqjTVspyykyaO7lv//ULdP55+wQ50WwkePGI61TfuP4Fn\nVSy2XfzIgzTbqdYyJUn+MbvYx6nFvhGQbXe0xvEmSqmrAVxtPfZu9vMvAvhF4XX7ATzHfny90E4T\nZ0AE0LCQ3g27LWzYQp9k7uRWL61vorwoU/TdVuoUyunXt1OCQsnUKaVA1ETEWn4gtwcSOjswx6Gd\nkqPLkjTJXE4iDb9omF7LqWOt2fp5IWuqBU1yXhSgSn5gF6EVStXGXpqKZXbPsJl2D1Ntt6RT5t8t\nXaGloRTU6M/ptBKnT/VM3XYxVOjXMCL6+3OJTaHMTaQjFLqaTql7jvn63eCqysYE5BNuCrjZYKRC\n0SnG9ObWJs4DNlt2pK9xv3zFXEehGFNtacKNwFfoXtISrn+9frOlHtjrmmJWfY4mFHV2EaUz/TIA\nr+BPCGUXASRKqTMsu/gHG7byCYHWE59eGtS2XEPvQZLmVcPHVE+1U8fR0tMUNVNtFiqa3T8GuWvP\n+WCYyverW4x27OxQwCnl+1/bqY2w5B9WBqhVa6pNFrhvdQwy27gqgyThJFWhtAxTrkNKyZV/mPLN\nphd9Sk0mWX8/vv6FXl7LO3ya6hmhGYKW39RBTcVc659biV/+sbPbQjslQ1Ota5Km2im+5cKdeIgV\nKy4Pcnzj4Cx++vlPw76jZwRNdRPg2R1AZgNM9emlAQoFnOlldeC23bGtJir6iwClyVGN/GCqnQo9\nfCVNcpMasycvaePTFdqN1QyroJfVDocejCE2sqcqKLB6bqYep8jVm2r5ROOA6aDAdjgMpy4316gr\nsaW2eS0hKMgKVQcYknzFJ/9wU3Gmc2/IV4xNJLf0suXzDYbbMoohp47LgMoqbd85bv5uXP+s31ev\nnzvVkvzAN1HR7AXun8hpy1e4c192//BLhPxMtZnuLDXVTP7B/E4tX7FZJ/16OShoAiX5GknY+uXu\nH5LO3989pqwbkPpsN20vJ1tTPUnZxa2OQV7gKw+60pa5pdIByQplEDlAw1Tb8g/NEBK5mmptW7pt\nt3hNM9WXCEx13f1Dyz+sPtUGU22QMvKYcr5XOd0/+D7gaJL9dRi6YA+Q5R++4vhBZaPa9TGTZJC0\n0dyeuGPKizrzqPdoLi30dXNa7Gd1IaKz/srm6XNsBPeZ7obktgQc5ArtVuJkA3Q3lHaaYKc1FE1/\nl06a4PwdHaOl4R0HZ9HPCjz/W853pH5AU6gI+OUf9nUMNNewVB+wXTEWpnpSYLNSpsPn9sDlTrUv\ntcw37AFjSgHzBtNGcIpPZHMYVsa6Fgqt1HTq7BuWF5o57cYKhW6n6fCh16ZUI9XQ7ysxvToo0E5F\nUTPtbrqNr7+VJFCqfD4fOavlE7wLCXf8xZZ0glNat/0LrL+dkNi9QW8i3qBAYqo5e58SlgZyUNAV\nep42hZaNYddvnXIW28kUeApFdZ9tOyjjsp3ULMY1Cv1aCZaW+ECGZqObslo3mX2qG9lULpx/t/uH\nLL/REifn/BsMkSuV0cecHtZ5iE1X4tRQrp/X59rQQA7Muge7aJVLuyaYqZ6Y7OJWxzX3PIHX/u03\ncO2vvRDf9qSd9eNc9nF6aVBPIASYprpKm2u9sHZ0Lt49jSfmlo2gVweM3VYqyD+WQQQ8aVfXyVgu\nWd0/HC1zyKnT7d48A166rdTUVFsERMYyrqZTahMXhdee2B2PzP2vCNuT1NVG88J5t1ARjIiyA3+z\n772tW5/uNH22bTmcVMfDv1vHcuDrY5qp5qPIdVDTSrCj2xILFbutMuDh8iKtr/4Xl+xGt50YJCFg\nyj9sFvt0oPuHvs5PLQ7wtPOdw9sS24qptiPkpgiqulHYzcBTyyVT3TCNTvqeORz6sfrzqseWa6ba\n3bD1jcI7I/h02rYmXH+W24+zKZTjvaN5FA+U7KzbZ9t1WOs1CvID7tTZLHzD3rvyCe4U2UGBnrBX\nrpEcg2mMibcY51ZlhBMy5RN6E7EdVpvh1vIb/nnNRmHJUFLNVJsGmg+vSVnvZd7LXL9vbp2rtrfD\niilf0UEZv+7aiVzo55N/JPwa9zDV7cD6+TWe5QWyQnk11QM9NdQOygpVf46dKbAlWr5CS3dojJzN\naD6rPJaQ0Oe87e/QwzXVdsV+xPbDoVOl9pk7JQAwt2w61RyaPS5UmTbX0MTN0y/YAd3RQ8PUVNvy\njx7O39EVu3UsWppqXnTYy0q9stepqwLxvmWDgIrpdToGNUxv23LUbfmEoy1uyYXbIaa66dhk3qu2\nZM/URjfHyqDAl93SNVFFfczX236xn9WFiCVDz7MBuVHcbwfptvyj+W5Nn2q7VS5Q2q+dllNdM9Wt\nxJHz6Z9numVQJrXUu2BnF8Do8g/ArQ8ASkd+O9rI7eVUp7Y0wTQCdruumkVl0hDbKW0xh5UXjAEy\nUy0NT8ksp05/Pn+ObvvHb9iiMCUedirLZPHcKN5eY63t5saveqxOPwrdS7gW23ZYTaZakH/U59ht\nb8SZav29OXOp/9fvybXpej28GK5Qcg9uU2Jjn3+TxbZTibzDiq9POGc2OBut/9eP1SxEkjia/PL7\nmZpkWz6kGW4eFHBmxulekvPA0ZZPsKCAXeP2+vn1s1xv/Ez+YWkI9dRQ8/w3f9OWFXjZhZZmNqYw\nrn+7F3UqrD+3rn9bw63lH75N3DcmPmJ74kg1pMVOf88thZzq5j7jr9PEy+UXlNroJ5gEpDfIQQSx\neG12sV93g7Azfvqzdk5VLd0E+Yd2IJ2JvKk7PIUH8FJXKW7Xysea+86Q89lstMdh7ef+Nqh2N6HM\n2XO47MLcTxOhuNwO0svPaPYWsw6mWQdvCWiz8HU2wHLS+XerMwWZnRVLnH2Ryz92TbUwL/SpbgvX\nSLN/J1VRuiv/uOy86fr7cDQt9UynenmQ159p1wecXhrgxW+7Hh+79SC2G7aXU5242lAuP/DpjvmG\nzW/Y8n9yHLDaqWPtwXqCw1E7RexGsTfspk+y20PZXb/pAHAjNshNp8JI7dsOk8RUsyg4cQotm2BC\nMqb1d7M04TlLwzvdP2yn1GbuBQPdaHPdVCJfv+P4s+9tdwbhOnPXqeOa5JCmmgSDLzHV1blqMfkN\n67Ci5RO2/IDLV6S0JV+/2zayWb/R4cbOFDiZEzY8qPr8pphKHp7SrD+QjUkJhZJZeGeDV/w6MNtS\nGfcvWz/Xz+vzb9YNFN6JnLp4yJbfRGxfaKfano5oyz84Fvt57QTzATDLlQN8+fk7AJjFistVsFd2\nGjLlH8vMqbNb4C31M0y303pqrSn/yNFNk5ol1vsH7+ZkSx0GLFPl2DxLjgU0e1tWNEV4TsY4Nwv/\n7Y5HUnG8/lkH4vwY3+O0nWqyyajXr/dM/jpuT/j5ygtlrd8M4DvsmC3Z67YTxy6XrzMLRXndTUlA\nuNmAkPyDZ5O7lm56mQVlU22ToS8KhePzfTz1vDKYW7KO+fpU82vXZqqPnelhkCunA8l2wPZyqu1C\nLUeT6XNKm2OOU2qkljXj5m7YjSbOLz9opyTezHp9tv6TO3XtlAyntFC8zzCXeLhBgSuDaBw+LZ+o\nCy0lTTULJkJMtT3YgwcFbtGILbGpzgcLMupjDmMusMDMqbaLAM1COQ9TnbiDSQz5jVAJn7A12kFN\nmzuldqZDuH5qYypkM7ij67YLbFjgdkJu2z99/ttJzTTbx1J+/TBWXL+vFLjY8ptcb9QG024HelIR\nY/P3LvWdfFNtAi+7LRXXQJrrbxx4/T24/CYvlFEoqo/Zvcz5sYjtC80mzy5ZTHVA/rHQz+qR4qcE\npvrpF+yo3rtpq9djjrNdqKgHLgFuwfdivxwBrq/3vuCw2vIP3s3JKc5mNtbW+4pMLyOjUmZPTHKr\n6SaUJLCGv+jC4eYzmmOyPbHrMMx1NMe6rbQ+D80aG9sLwLB7ZubLYtNZn217FLxR3OzRrevvCph7\nhP23bgpFyV+oqNloS/4x1Urr9q/c4Z5dGiAvFC6rusdwcuVML4NSwJ6ZNvp5YVxb/Lq2g0p9XWt5\n1HbC9nKqLafUNgI+FpI7rDbTyB1uUT5RfV5IPhHs/sE+z9WENxKPTisVUlkV09gKMNWSw8GdKcth\nklLj0volTTWXcZRrKZruHzYLrCym19FUc2bAdErbtYFujkmacOkcN8bPZO/rohdHk4z6vPQ8Y75t\nx01/lv5ujvyGO3y5eY7Ndm+WfIixNs5AnEQeXlMHNdXmybWHmpHlbBWXw+j/7aDADBhWvsbt4S/8\nOxkDmlpu20h+H/L3sgstbf0/Dwr0GnmHBXsT1//z9l78XEac3eCDOTh05w175Lju/lH+7DLVl1RO\nNXdMlqpJdhfvmUY7JTw+x5jqQVGzzbbsomxjWTqIdsZ1qZ9jupM2jltA/iHtA5psqovqmRyx27bl\nE2YvZ/s9zVoj7igqtmeaDreWSBBpaZv5eeZMAoGptu5VfkyfT723mSSbG6S3hUC8XH8zTKqduky1\ntxd4brXUy8x9oBn+4jrVnUr+cUZiqjUbzV7HAy9bb621+7X8g8mTtKxDX6/ciefXri1/OrmgMWNL\npgAAIABJREFUnepFbDdsL6daaK/j6x5QOnVN9O+wakKhHK+M1v83GzZLjTuOZ3OjSxGyPsYdeP15\nhu7bDgoqx4AzpY5TJzDt3Pi5mmr/RLxSU20ZU85UW8Wgtqa6b6USuV524LCa7BwHihjFYtBUdup0\nupO/l+2U9i2nVJ8reWqlOyzAka8kgjRBkN80DvcKLQ09RTta026zTvwcK2Uy3BIbPbDWzwv9+BqB\ninVynFKpbqAJJpxMQXW69YAmf+BrFUYZmQ55lH15zJVodYRNnBfBng3dPyJGw79719fwx5+/z3is\nKFTdI9p2Kk4vDbB7ug0i06keVGxfzVQvMKZaF5N1Ujz5nCmjrd5yxplqW/7RONxSZ4qZTiq2dNN6\nX82y9us9orlH9KRDzjiXx9zuH7l1z+nvqz+XB7mFaiRevD+zLcfSa9THeN1bXgX+PntoBOkWyZBU\nfaqBZm82bYb1OkFTrQOtQaaMNdostlGHYdWYlLJIk03nmWut+5Y6he3oyJrqTsVw85kRXCJktwjW\nI8o1U83lHzoDUzvVfdmpdpjqhYap9gWkZyu2l1PttPJpHB+pIMPUJJuOJ2fImkK5ZuPVz7ELFSVN\nbO1MBaQVWi9rF2PxoMCdSNgYWslJBFC1YDONKe8ZKmmqvYV+RvcPN5Vlj+suikai4mqqrYmE1jmW\nmV5XPqHlB5Km2i6+K+UrAflEastvmpSgXaVtBmzkBgXCNSJ1X5GyGT6mnbPAA8fh9k0k1NkMt9jH\nuMarTYS3GCz/9wcFPAuiGTKjJZ2V4eH6yIZZaoJKqcONzSxxRp0zS1pvLRVa2oFvt506xwZC4DLB\nExUjRsDsYh+3H5jFvY/PGY+fWuzX14XtVMwtD7Bnpo1zptqG86ELBy/aPVW+N2eqK2dmup3iot1T\nhqa6xxxnu9BsOcvra9beBxb1hFar8A5gLKqVneMERMcOVm35h7Xn6PeqnXHmzHJ7rh/Tr5Myj/pz\neWcQ51hCLGCwA2cu/ygfK9ixbu1UN9ktX6GiwcILmTauCTcKn6u/m35fYzJwrlvqmVkE/b8uOASa\nv0kjAyTsnGphaZAb8rtWUo501w60tmnLWcGcajOrqkeUP+mcLrqtxHCq9bV7cc1Uu0W2F+zsuEx1\n9ft8L3OyOIO8ECeNni3YZk61PZnP6sXL9Jo8suadQSRNteRcAvamLDl1FsOXuJXMXG+aMuZYH0uZ\nU+of8OK2/auNR8Cp44NhGkPLi7gK53VB+Uqo+0egCNBw6hymmrV7E+QTjqY6dSdaSuuX5BPS6F3e\n/aOX5Y18gmnweO9u3qlDH3PZaPbdrKBAYnON7hmpHRRU578qzLEnctqFRX3mlNqV/HmhRN297fh3\nWvyYKw3xM9VNJbxbGNykojUK5TLVPCPANdXl8yXHn0m0WIee+piVMYrdP7Yf7jx0GoDbNu8JJs+Q\nun+cM9XG7um2JfFoJhzummqZhYqDJqh78jlTxvs7TDVzinqDAlOtRv7B7ehSP8NMO60Lc8Ux5Vah\nIreHtXOZ2fawlCYYLCrbj5y6ldys0QDMmiJjz7Qdfw8LnOWF0TErd2yG23XDqNGwnOrMsHmuHeJE\nFH8vzTg362d/m7xsW1gPg+NFn5mq2xaa57+xh1r3rf/eXP6xs+p9rosV9d8TKOdh8NctD3ImHzKZ\nan1dX7Czi+lOWhfMAo2s6dJqsNC8IP946nkzjuPMMzC2rvo91+/Hj/zpl41sy9mEbeVU2wUGpqba\n6kyRm9IEm81NOVMn3LD6mN6UpUIzrRfNctdhkjS40kTFZhS5MG0ubb5bv9LL2hIJXsQ1CLF42uFo\ncyMG43XtxG33Zmhi7XPMDFUntftxsu/G3lM6xwPLcauZXoHFllvSueuX5BN2atWU3yQolOko8oAN\nKDcPSSIksdH6u9nXT0gTLhft8KDAWr8CW7+7eSbW+rOCBzVN4OVnqpvuJVzv5w4PMrMB5WP6+jGZ\n9pytwdZp8jVI5z/znH/9WT2Wzaj/Nsq+NyZ/omLEaLjz4CwAc+oc0HT+uGj3lONUaPmH7VTr9PlM\nJ8W5MybDp6+/6cqpPjrH+lQzx9nuCKEHLgGujFHLPxLh/relCU4XqIQ7fOZepftU6/cBTJtdF0Yy\nMiq17lV9P9rDpIzZAnlhBemM6S30MCY5SOdZJbfRAHNYq3PJg3T7dZKt4XZbO/7t1C9fsdt32hNy\n9fnvs6xew6bnxt+hzZxqrXMe5I1TrTMX2nleHjTZjLJ9anMdHJ/vo50Sdk+3Md1OLfmHzVSbtQJE\nwGXnzTjdP04uNNf8QUtX/eCRMzg+38etj5zC2Yht5VS3LfmH7kYAyMNTJPmHw1Qb0grTqUgFFtLo\n/lEtpc+cQZ9TpB1u35hpW+/Lh9e0mRFo5AycqbOZXvdYP8/r8+QwA0zn5bR7Y0ypW2jJ5DdC9w/d\nuo8XvdjdMzh7H+pTzR2m4ERIr6barYQ3Cv3aVipRcdamcRSlYkRXhiJpqptrS2KB9DHHKTXkK6YW\nUGKq+XVuM9UZY9qlSv5+ZjrcqXRttfyOP5ff2Br0hP4Xe28aZVl2lQd+5943xpQZGTnVlFlzlWpQ\nValKUoFAA2gsBiFEY8SCBgwWtIEFmLaBppebtru9wG2aZTVegAx0iwVuus1g1FhIFmIUQsKSkEql\nkkSVah4zK6fImN57d+gf5+5z9tlnnxsRORQVGW+vlSsj3n33vvNunHvO3t/+9rftufxeBEEN2/zj\nBk0t918JvEIOZ3jsUumoOLWtm3eqxw6VBXyR4k2H5xX6R4GFYSdyqtdGxJvuYO9MNzhvfVy6RmSz\nfZvap8/baJoSAXH9BufLytqU9YktVATCfQzwyhS+UE6goazAjjvOgKd/AB5wCdV4JJ2sCp45+/46\neK6Adk61LBCkNSoGGcI1j38ntx8ZFhQUfv2NM18+Gxuh2Mzh1mRc7bVLlvkKM22EcMv7z+tPJEXF\nye92Mqc97pBq5txTkEV/m1FROfRayqceP2sbvxhjGqfazx+qB9AKFU83gaMNDmP1D5Lok8WK9Nz8\n2ZeO4VK0XeVU04QPFA44Us3oHzK1XFa10wqma/FrAjo1REt/R+oNpX+IUpXMTv0jGL9/0PuC/lGU\nVeyUsvE7sX3GE5bd8jKjI9USGeCUgKhoJEANpFMXd1QMjrGKavocyWnvtgQ1mQFz+FroN1XaYZKF\nflUdaihHhXIMmeH0G7on/no8XRiiuTxgc/On8HPEd/urgvHnGXNKZVDDCnM4+pLJ8QdOqd8M7Ps9\n0qsFBRr9I6o3UKr1uRSlLxQNHWdjPL9zzDc6kW7murPR/a9qP8czmiM8cAyR6oDaxTa6KVJ9adrn\nnzmD//E/fS5I0dd1jc8+ddqt8xyRe+6MbQ9+w8E5nFkfBwVZKfoHIdWzvRx7Z3oBp3pjUmLYtVQB\n6tBHqKEtRuSFisypLpiknuhXsN4g1UCMYlOjI8lJ5lkZ98w5x9MDQFGhX6lkh9RCvzhITznOsoiR\njtEa1cli9RL+/EtaGK3deW7QzyWnOs375lRLnvni/QPonvF1ge4xnReqnjSShmJd5oFG33Gjw7We\nAi/AO9Wjwt8rymoQUj0ShYp8/vBuioNuHqh/nF4bY9DNsG+2F3wW4LMxizM9rIyKYG6dXB3j6NIM\n5gcdPHkypH9QhufPvnQcl6JdEKfaGPNWY8yXjDEPG2N+UjlujDHvaY7fb4x5xVbPvZAmlR14K+lI\nrosfI4eDpY951Or0PUURl440tnTEa6EmdDLPN/UOH4JW5G2FcoB1GnhlNCAbY8QofCUdDqVQjhxJ\nHhRoGsRd8d04xcDJGykoJEca2zr6xTrVXrWFrhtoENNnBZz2EA2V8lJAmCblQUFwXhUWitI94fJ3\ndI8l4uzoByyo4aL/0YLPxq/d/8zApX/5GIM5wu6/nOP8uZmI+RNmCmSmJnZYVZ1tdo+jY5sELnz+\n0xh4doR/j5KPPwgKROClZkF44BUGNVPb+bY2LvCDv/Vp/ObHn8CjL6y61586tY4XVsZ45dWLAHxR\nF2Cdg6XZPg7M9zEpa6yOwwKvPcMuFoZdnFmPW5EPezn2DrsB/YN35iNHmJzwkUCqy6pGUVZMW50c\n53AfsPQP63zxbGxd10zuLVwX+FzXVHWAUOdZd0rj83gGFxDruUJHBEKecKr+xIMM8RilskaAtIvs\nIl+zO9E9qYOuj/R5zsntsPVc4a3T+GUvDE75lPefdKrtGBv6B9XWZBmGRPFo5tSYOfD03TYcp5pL\n6tlsBu3t1qm2TvOwF6LYp9cm2Dvs+fmoOdWzcSOjU2tj7Jvt4arFmQCprusazy1vYKaX46FjKxGK\n/cjxFZzd2NlFjOftVBtjcgD/DsDbANwC4F3GmFvE294G4Ibm37sB/NI2zr1gFnfL446PKJQrY6do\nUnqkK+BNO+cgRHoD+kQRO0Vuw3boX0yfKDmKKoKCkiF1slBRcqrt+BiKx4vhpNKCQl8J6BMJNLST\nx93mQrm3GDXwnGqBiARFpB4pjTnVuhYyvcfxvovYqaP1TWsWwO+/aZxSWRFeKoVyo2axqmu4gkju\nKMacdk29xB+ravndvOMptWM19QzJu5fHIk61co/5JijpN6H6R/qYDxjibAC/JzHq1EJRqZXAVwkK\nfPaEIe2siDHitKubuEe4feA1RaovFftXH/gCHjthN/jHT/iN/rNPWerHG192CADwwlnvBD+/vIFD\nC33sHVqHhIqzNiYlRkWFhWEXC8MOltcnDsV2SHW/g8WZrihUrJhTbR1hcsIlpxqwaw01bPJIdR7s\nA6RTDSAoxqe5y+kfshdDNzcqWEDHIodPARI4FztGqiuWJYyRakKBaQxcopNn/NKc6sw95xodrpfb\n+6JmF5WMpe8wS+AKo5MpQBrgeev+u1XBdwvoHwKcC++xONbxTjVlMzineuAKHEn9Iyx05dc8tTrG\nYoNES071mXWrYkOouBY47p2x5/IA8eTqGIszPVy1b4gnWaHiyqjA2rjEN95xOYAQrd6YlLjvPX+J\n+97zl3jg6TPYqXYhkOpXAXi4rutH6roeA/htAG8X73k7gN+orX0cwF5jzGVbPPeCmSa7xZ26CKkW\nTumkqCKn1LbeFs6BgqLyRSxCo4vYYYp0no2JKrglildUdUBN0FJxvDKajvlCP1og0kGBVigX6Dwr\nQUHklDK6ieTEUgRd1SHFw54XF8oFSHX0t9Gbv0ikMUA9FKSUvpOsJKf0I+CDAu6U8o6W7phAernM\noKpTLZDSMBsQozZx4MXmiMgGcN69Q5YKjT7BkPaIU50utAwL/WKnNOat8zbr2hyPswgRB7KqoznO\nkfa2wFfjVFdOzSW+x1NO9c6yP37weXzsyy8EygQA8Bd/dxy/+fEn8M5XXAkAeOyER6o/++Rp9DoZ\nXnvjAQDA8RWvyPHc8giHFwbY27QcJ5rH2UY7eGFgOdXjsnKIoedU59gz08PyxsTNI15w6JHBxqku\n/DHuFBGq6NuU+yZmRVlhXFbO+eKF4nw9jOkf/jnmWU4gpMORw7fBONUyyA3UMxiQQNcqxJ6TsTVj\nLNaTIMitlD0zEhMwwd7Hv2NujEOXOZ0sVajIG7x4oYE62LvtGJXmL6xQ0a3njKoY0/I4Uh2qf3BJ\nPQqW6P5zVNwXKhJSXTpHe+BQbDt3VkYF5hunOaJ/rE+wMOy6pmMBUr3WONVDO/+pPmBSVji7UWBx\npocrG6SagkqifnzFdUu4at8w4FV/+fgKNiYVnj8zwjf/0sfwR597FppVL/F190I41VcAeJL9/lTz\n2lbes5VzL5jFXE7BqRZFgD617NP+kVOqItX+IYqQ6tw2lsiMb+HMucBaER2l7zVliqQkWh1H1lpq\nv238NuoOHT6N/lFoTilD4aOCN6UYrsfpB7UcI0eqY6fIL6ZV8H6OGvDUfuzU+e+tIxTSqVOQXoU+\nIRfoIFOgBAUR0qsU0Wk61T7Q4+OPKSq0cYVOaTNHlPuv0m8YUuXvv+6UdlgWhG+QPlPjN2N6v0SB\nU3PEHRM8x0lRsXkQI+0TMX6uCESFljoKn6av7ETbKZS97dqZtYnaxe1Tj5/C9/3GJ/Ht//4TuOtf\nfhi/+pePuGO/+fHHcdmeAf7Xd9yG+UEHT5xkSPWTZ3Db5QtOV5rL6j2/vIFDewYO5SO+NTnXC436\nB39tzXGqLVJd174YjBccDh2numiOcU61R4idU02SeqxQcY01kwHCPY6DJEn6R6ZoKNNzkGUR31fj\nVKuFz0GQ69cu+5kxZYy+b56ZuAlKZhQ02oMamk61B3lCkErbT2VtRzj+Kspu5YLiMSoql1noMgBO\nyxTQtcbs/vushFD/yGKkmkv7+YDHc/J5R0XAotd1bWlLhERL+seZtQn2DruW5y/aonNONeDnP2Vf\n9s12cdXiEBuTCi+s2GPPnbHPz6GFAd5w00H81cMn3Oc9fGwFAPAb3/sqXLM0i1/804fdZ5VVjT/4\nzNN413s/jpv/+Qfx+Wdeukj2hXCqXxQzxrzbGPNJY8wnjx8/N4J7HikchDrVJUNCw9SyXyA0FI+K\nH+PUfpg+zoxOWxiX/jxNGYEWnDanrs/SdEQ/4HxxgJyimL6i0TjomIZUN6fqTmlEn+AySyHSG9IP\nPFJN50pJN+3+h2hu7PC1cXqlagjn9PJUXFzw5p3BmO/Li+HkebHOc3j/w2Nam3hN/YPTRuLApVJp\nQPZYjealYGMtSznHOQpM8ydNn9Aq+Tn9Q1KEOE+bxqhRtHrKJsjpW0CYzdDSzbr6jUTvGGomshlh\n8xqf2dpJtpMoeyk7szaJOrWtjgp8yy9/DK/913+Kn/zd+x0qBgD/6W+fRr+T4de/+x5cf3AOH3zg\nOQCW4/mpx0/hK65bwqCb4+jSjKOBFGWFzz19BndctRdz/Q76ncw51aOixMnVMQ7NDyKkbnkj7VSv\nck71DJ1nHY71plARgE+3j7wkmkOqmbLDBisgB0IaIOdvA/YZJ+c4aOYledNsHZUayiVzSiX9Iywu\n988q7Y1x4XMdIM5AqPPMKXv2vBhAyYPC7XAdtXS4eM9JUw71Oh4aP+/CSu+XaHqXZUfJnyCaSc7X\nE94MS8nA2b+NL84esaCmk4UNXpxTXXD1jzDgkZJ6gJ8/ZVU7JZFhN27+QvN0rt/BSjMf67pm9I9m\njjfzn+bz4qxFqgGvAELP5OGFAV5z/X6sT0rnID/0/AryzOAVRxbx9S+/DA8+u+yySr/6l4/gR377\nM3jy1Bq6mcF7/8IHxQBw/1On8Y9/61P4qd/73N+7/nXnAlzjaQBXsd+vbF7bynu6WzgXAFDX9XsB\nvBcA7rnnnnOCiLi0HKCnj63zmwmE0kfrcfqeRd0tKDCvYqbzJUKsqX8UpcItZg9tj6X2ACpWiCkG\ndF5c6Mcbk1AqziMD65MY6SUh+4g+kempOK3gjcYfoZBFFd1HjhpE9z/3iiJSp5qrl9D4+53McZ2l\nw8fTnZy+Ip1S4iXy+dOKVHOnrqXQUuMk+6CAOaVKxsV+b52+IhGiQD2jhb6Ss3HI+x8WWpJTGo4/\n2EQY+iLnOOdpc/4zYAOfiDdd+O/WfCUfFCjzJ5TwUoIyuv+sQRC9x9OwLimk2tHuAMAYQ7S7B9l7\nHGUPwMeNMUTZu3oL514Q+3d/+jAeev4sBt0c/U6GQTfH6rjARx96AY+dWMOhhT5ec/1+fMsrrsRX\nXLeEf/Y79+PLx1fw9juvwO9++in80QPP4cM/9lrsnenhD+9/Bm++9TC+5uZD+MSjJ/HrH30Ua+MC\nz53ZwInVMV559T4AwNGlWXy+4XM+fHwF65MSL79yD4wxODDfd4gbaUgf3tN3nNIzjTNByPPCoOvm\nGUeqiTrhuKgMqSYuNTnXa+PS0fa4+gdgHSZ6rgbdGI2m7o0cqXbPKlvPZbDK5zrN8LBgL0RDvTJF\njRmlfsPXMfhnjj6nRvhsa0BIoBsv1rxu1q5TrWW+tDUbsHug5g+kazT8eqI1qOGBC50vFT66wf2X\nIEnmHWCeDWjWM0f/YIWKMzN2/nCkuq7rSFIPsEg1qXmQ5nWsUz12geFsP3dI9dq4RFHVTaFiiFSf\nbBzhfTM9LDWqIk+eWsddRxZdQ6NDCwM3/s8+eQZ3H92Hh46dxdVLM+h1Mnzl9fvx8x/+O/z1Iydw\n3+2X4f2ffQZ3XrUXv/fffSX+1Qe+gP/zY4/hJ956M/bP9fEjv/23+KMHnsN8v4OzowIPHzuLn3vn\ny/H5Z5bxqcdP4cvHV/DM6XUszvRw2d4hvvmuK/CGmw/iYtmFcKr/K4AbjDHXwDrE3wbg28V73g/g\nh5oF+NUAztR1/awx5vgWzr1gJlHIsqp9hM/QuE6LUxcj1X7xaKUfsCICOl9rb96mfqAVocWLQIzU\naUh7xB1jfNkU39QwpD1EITl9Iu2UavqeubJA8yIU+b29wxQeq2q20DJKAOebAQ3SnplAbo8jxG1O\nqeSEl8oxLSjQxi8zBTwocKgNk3vjDp82D+iecFSZxiizAZrOc9smot5/rdBSUc/YCn1Cbf6izH/J\nCdeQaq3Bi6+ur4MAio7FhYpawKPQV3auU63R7l69hfekKHvyXAA2uwiLcuPIkSPbHuSjL6zi00+c\ndoV/G5MSeWbw6mv24VvuvhJfeO4s/uSLx/B7n34aR5dm8PiJNfzU227G97/uOnz/667FN/wfH8XP\nffBLeNtth3FqbYJ33GWLo+69dgm/8ueP4NOPn8Yzp20RFal7HN03gw898ByKssL9TSfF26/YCwA4\nMN93SPXzzDnYI5BqcqD3DLtuPjukemQl7owxDuE+7ZDqCvtmQ6R6bVw4h2rQlWtl6Rwxeo03ASOq\nybBrr9XJfS8D13eA6fa7NuVF+Izbz4qzc5LvG2R+2V7bpsZDyQbnsOY8yI2D9KgAPm/rqGiCdYE+\nk0AVSW3RAAituJyPn/Of6RitC4SY8r9N3Aq+rVCRc6pjigc5yZ7+4Ys6HVLdPDsAIqR6Y1I5J5mc\n6kHPc6o3JiU2JpUL/mb7HVdoe5rN8dlejm5u3PwndNki1VbfmiPVC4MOhr0cw16OQwt93N8UAz90\nbAU3HpwHANxx5R7M9Tv46MMv4PYr9uDzzyzjf7jvZmSZwXe/5mr8+l89iv/rY4/hzNoEf/TAc/jR\nN96A7/2qa/BnXzqOH/+Pn8XX/Pyf2zH3clx7YA7XH5zD6bUJPvvkabz6GhtAXyw7b6e6ruvCGPND\nAD4EIAfw63Vdf94Y8wPN8V8G8AEA9wF4GMAagO9pO/d8x5QyLbXsI2uPdPEHnB8bFzp9wl5Ld6Y4\nUkcPMZBILWe6TjLn2NK47TE/Vl6lLekH/KFNOaVl5fmmGrVi1IzfGPbdFNqFRAYmykLFnVK6JRrS\nqys7hPefox6cb2aPZSgrvxjxz1HlmTIutxc7pZEyRZ2m39Dnx/c/XIR5C225QKtOXcem/ozhvGmN\n/sE3ihg9ovHH91iZ49oGw+aPpK84eSkFhW9T/+hy9Q+qkq8VvXKVA0kovLYJ+s+T3y2g2CgbpJwj\nnSwuBp2abuebXfw3/80dm75nY1Lidz71FH7to4/im++6Au9+7bUAgJsPL+AfftU1+JU/fwQPPruM\nfbM9fPUNttjwnqOLyDODTzx6As8vb2BxpovrDswBAK5emkVR1Xjm9AYeePqM3ZT3zwIADsz1nTII\nNbA4tDBAr2O725129I+mUHHYiZxqrhu96FQT7LGRUqi4NmZOkUAaR0XlHELX/IXp/a8LpLqXe2oF\nvyY9Q+NSPMd5BnKrAzpc850k3zfMSvL1JMyA8ufHQDjOxhcHc8cfEOshL1QUmUdet8Kde3pPe5Au\n1/p05mtSVcgaUNcDOV4SUCLVubKeUDMsY/yazcGVWP2DFz7azKqnf5TMqfbnUdDjdKoJqZ6UWGm+\n0yxDqknBapk5zoCtAyBkm6gee2cs33rP0HcHPdn8v2+2h9l+B0uzPTz+gneqDzf1CQDw8iv34v6n\nzmBcVHj8xBruu+0y991efc0+fOzhF9zz95ZbDwMArlycwdtuvwy/9tFHUVY1fugN1+NH33gjAOAb\n7rgcVy/N4uOPnMArr9mH26/Y4/6mL5ZdCKQadV1/ANZx5q/9Mvu5BvCDWz33YpmkJgSbMnOKepV/\nwIEUipcF16RK5sx4LnCWhVE3p39sVgTFU3Hag27/j4vo7AMRfl/OmUs7pbVDIQyTgnMLXBEi7bxK\nm1cyR0GBptAQOHVNpiCgf2zu1HVV1CC8/wFqMIlRVPpu7p4E6hmaU9rm1KXpK5x+kCxirCrPrWfH\ntPa0AAINa16Y06b+Iekf/G/TY90KY6SabTBREaCJ6UNtQUGucPIZpUcGZRrvPtggI754zJvO2T3m\nfFH7Hn//tE0wVv+I5/gOtBeFsvdi2KCb4zvuPYrvuPdodOyHv+YG/N6nn8YXnl3Gd33FUTdH5gdd\n3Hb5Aj7+yAmcWBnj7qOLbs07smQ5oI+fXMXnnj6DW6/Y49aTA/N9fOpx21r5OcYNBaxzcVqhf9Cc\n9ZzqArMNxYOcakqXc041OcLr4zJS+OCcanI8fUdF//xo9A9XDMfmujE2Q8T3FXo/PavamicdvpBT\n7Z+5shRrHgMnmtuu1piMXcOreD3n62iceYyR6qBgsqVGSYJNk7JmlL0s+L9U1jzO+x6J9aSbx9lp\nz8X2WYRQp1o0fxF+BFfr4B0V+8xxpgYwnpPvj5Fx+gdgqSGnpVPdz12mhhfjAsDiTNfRPwipJq71\nLZcvOGnK55ZHOLTgneo7rtyDDz/4PO5/6jTKqsYNh+bcsddcvx8f+eIx/NYnnsDNh+dxdGnWHfu+\nr7oG//n+Z/HWWw/jn7zpRnC7/co9uP3KPfj7smzzt1w61lbox9UzpPpBwOmNnCL/0E6qyv0OKJzq\njo+Y5IadmVBnmPO+tYJJeo9ESrlTKlUfgqhbOqVNapx+t8fCQste4rvpzTtip1SiBqksdMPhAAAg\nAElEQVTxp5w67vBpQYG8/yH9xqaOeZW5LHAMkF7FKZVpulRHwtQYOf1A8vMoldjNw6BGcqp1hzV2\n+EKd6rRTqhUWaRQVen9q/hRV7TZqWcTLP7OjcPJ9oORToZw+pGUs5LGOMv6IvsKQaq7FToXGKj8y\n2uhMFBTsQHOUPWNMD5Z2937xnvcD+G8bFZB70VD2tnjuS8Lm+h2bMjbAt9x9VXDs3muX8LdPnMYj\nL6zinqt9Ovho41R/+dgKHnxmGS+/wm/O++f6OLk2xqSs8MjxFcz1O85x2MuciuX1ieOAzw+k+keJ\nmb51XOYHHeSZcUg1V/8gbvXquIid6kD9I6SG8IzlmihUDOgfon6AO9y88Dla89gaKx2+oBhR7Iv2\nNblmV5FzyWt8PH3CF/rFxdne0eUCBHL8uja/33PseTEAUVYt4y9rZfy+665UL+HNyOR5XNKXN8TR\n1D+4HzHserUOXqhI69TGpIoUYngwJOkfQxbMnWZoNGDRbIdUC4ebtyo/uTppCnvtte46soi/e/4s\nVkYFji1vBE717VdaatXv/62Ny68/GDrVgKWBEUpNdteRRXzoR1+L97zrLrcHv1TsgiDVO8Vk85eA\nPsHRXAUxBGzknOJrllUdFFXRe3gL6gipZhs2fygBUcwnOcmEtNfthXLO4WMV3ClO+KSqbBGKcEo5\niseRap421zixwT2WaCKjC/j7n7vPibo+5nwRi+kHdKwofdcrOuaUHYo0/YYjM1oRoMazo/dEhZaK\nUxoGZaFTxx0+W9mtZzNkt7+AdsHuv0TaA4WSjsgUVIpsZBHL/oV1AzJTw1GbMCgICkUjhLh9/Krs\nn9sE/d8m7qhYR/MnUBtgRbX8/pcsKNgMaZdBwU6znUTZO197x11X4vU3HnTFVGT3XruEX2kUBIhP\nDQCH5gfodzJ85IvHMCqqAPE6MN9HXVtk+ROPngwQ7kXWcnx5Y+IQvDwzmB90HHq9Ni4w03Ccs8xg\ncabr0uUbk8o5NVTMuL4J/UM6TNwJJjk+31HRo9ExHY4X0cXroaOGsD3OI+YN/SMIgLXMV0j/KCvb\nj4C/n6+xWuZoMpFrNgcgwmPaelhVnlNNCH1YuC3Wwyo9/qKqUNfh93XrSV277ChvU76hNN+hYxrf\n2ql/NNeaVOEePezlofpH81nGmKYdOQ+88uB/jlTPMp1qwGZNpOM8xzjVZ9bHwbG9M11HjTq1NnaO\nOAC84sheVDXwmSdO49jZkcvuAHBB6//32WdgDBwNCwBuPDSH/XN9vLAyipxqALjp8Hz02kvBdpVT\nHW3YCRRSqh+oyghiU6ZjIdIbbsrcqcvzEGmUvGnPHfNIr5QiC1NxvjAhhdRNAvWG0KkjvikvTuGp\nrHERBwW8IyQ5U62FlqIgJqQfxEGBzAYEkmi0mHKHtQyRak6/4Xqh/rt5556KMGV7Xe6UcsTcf7dw\njlikPcG7L2OFGOfENw5fl93/zGhOXYxi82tqmQ5trtJ5EX2l1BRW/CZSCtSGbyJS4SbMZsRBAc2f\ntvGHgUuc6fDZmDhTEAdDevMaPn5OQelkGdaKIhyjEhTsRNsplL0LYdKhBoB7rl5EZuzachtDo7PM\n4Mi+GfzVwy8AAG6/InSqAeALzy7j4WMr+OZX+JYKe4ZdPNV0jlteL7Aw6ATHOFK9j41ncaaHU6tj\ny4GelK74DLC0ja0j1bEK1FbpH/S/VP/o5KzhGC/mI061pH8wh5tTxjjyzf8vKt+sTKNTxuofvkZG\nowhqdLiuWM/5fuTuSRHvR3zNbht/SZxw5zj7AF4LXLZC/+C1NVlmZfU8/aNy3wlo1DrGhGLXAfDV\n72QBUk1/Ly6pRyg8IdUzPe9wE9Vjf6PgwXWqaT5TEePiTA+fedJSPE6ujoM5ftdVNmj98IPPoaxq\nHFrou2OLsz0c2TeDJ06u4ejSjJvHgA0M3viyg/j0E6fwsstemg60ZrvLqW7ZsD0avbVCOY0vG8vm\nhTrDocMRUitktyZejJgLx2G76hmavFEuP69x6jhSmmdhMWKIVIdIo8Y3o+vGNA6GAufCqS7SzUcm\nilPKZRLJuff3WCDtCRSey0T5v6dHPWih9E6dPY93JORdsaIxMoQ+qayhzB/ZPCigr+Q+lUgISxDU\nBBzCeB7TMa2tcJv6hyZJB/CgQJ//Uu4wmD+Myy9b2RdVTLEJ0rX03RgKLwNf/kx55zgOKvlzSOdp\nSDWdR8/G1HaezQ+6eMWRRfS7nrdKdnRpFg8ds/SOqxmPk5zqDzSd3l59zZI7tjjTC5q/EIIHhE71\n6qjAVY12L513cnXsFT56fiwzvY5eqBjoDIcOEwcnpE51J1eav+R+3dbUJ2RHRU7nkxrKIZ3Mr5Xc\nyaXPAhrKoQxWjQ9yteycpBxqqhv8+Y+AHAEcUWGnHL9fR5Uuymz8tAL0xHpSVFVEselwio3oxMjp\nH1wTH7B/2xT9Y9ANkWrJt95g6h8RUs2aB3mdaqJ/VDh21tYNkFM91+9gUlpazpn1CfLMYLaZW7am\nwGrHn1obu3oBANgz08V1B2bxwc9bbXhO/wAsB/qJk2u4gVE/yP7nt9/acO9NdOylatnmb7l0LHLq\nyhhp5AoNcaFiS2q5SRPxKJiniGMUMpR0k8Ly1FhC61IVtskOkeq2QjmVb8qLAIVTwaP/kXBKeQtw\nXhGuI9Wh48YLRSl9HzjVAr3QggLp1BVl3Si3CMefbSJJpLqsIJFXLRsQF4rGzV/GRRnNEb5AS/oK\np09wDVI6Rt93Y1K6jZOuqaHRMcVGaZCyicNdiGwAb3bgN5g4FapRnAiJihrz5FmwCUYBlFJMLDmc\n4d/Gb/7R/FE2cS2IHWnZmFqMX5HLnNrOtF/5zrvxi+96RfQ68apvu2Ih4GseaJyLD33+eQy7OV7O\nqCGLM9Zxrqo6oH8A1qleVtQ/AGBx1nKxJY0DsKjh2sg7Pn2HVPvnQDpMPGPmkGrWwlx27XNFdB29\nfoD3aAAIQLH3xBgTOHz8OSaKVFH5NS8OcjU1JB+keyk4LRCX+0AWrNmA3b8lZa9g9A/6XK3Gh6gh\nk6puGX8sqceRdscJ78aO/1iADPxvMxH3pN/1MolyjSVOdV3XkWzvoFHy8JmOzL0ONOofjVINzRHe\npfH55RGWZnvumuRAr45KFziSs7t3podxWWF5vYiQasByoJ932u6hU31H8xxdfzBGo/ud3FFTdort\nLqc64vvqEkBSPUNF8RQnrJWTHDkc3qkYF3VQHEXXo/+j6J8vEBTNMgkdSZ9ok6Tjba1lUBCNnzt1\nxoCAukDmhzmQdF3uSNlj7LsR0kuoxyb0g4i+wv6m/F7RWKgYVAYFnH7Dx6FxquU4tNa7bcgM/7tJ\n+gpHNiaVwrtnQQ13qiUyE3PyFYqEoD/pRZh611A+Rn5MFlr2eFCQx23uNae0ZFz4iL4S6OL6tLfs\n0sYDr1g2j88fWeDEkfbwHmcsKIs03FmmYGo705bm+io15OrGqebUD8AjdmfWJ7j76GLwrO6Z6dmW\n4xsTLK9PsDBIINXCqd4328PJ1YmjcQw5Ut3vYG0SFyNqbcq5FjLg1T96udeu52ioRL8t/cA7zoB9\nRjTKGN8j+p3M8X15xhKwzwpfTzRpWK2ZlD1WRUi11e0P15OgvXlEJ8sCWhhgs4t8/Late7MO1aHD\n3cmyAKnuMgfYjVHQ8nhW1f3dOh6p9pm7OvhuXIpP6nP3O3kgqadxqmVRJP1staYT9KFJhZVRidle\n7oJHypSsT0ocP7vhsjMA7/JZ4PRamI2591pb7PsfP/UkTq9NAqQaAF5xhNUtLEin2hYr3ngoRqp3\nou0up1qgYNwp1STdtqKMwJFSmVqKONUp+kQVI6WhUydRTZbKUhyOiL6iFGqp9INKBAWGIXVFhX4U\nMHCKRHM/cm38csFhRSOKpF5q/IGGskMaPYoa8dYZejEqKvQYChTTb8JMgaeopNUngkpytVAxvGab\n5inJM6WCslFRBnyziH6Tx39rGn9SvaSqWDbGuPufqhugYtxg/DKolIEXu8d5ZoTcYXwfZctkHhR4\nhKVyBU7cuc+MHvjyhjIRwpWH8yfFCdeq/OnY1C4tI+mu24RTPezlmG8cC9lAYnGGGrlMIvrHoYUB\nnjm9jqqqbaEiQ96INkKNWgYsmzbTzbE2KiIVDO4UbTTaxJlYhyalRSi5k05OLhBzqrsZc+pYVskY\n01Ak/FrDn5F+Nw8yRxFfuYwlUnkgrj1XdCwqVNR40+yanDJJ7ye5vZAyyZxqRv8oWeaarj1hnGp9\n/DJg8JlHomUMe3SPGRpN37vj12ZeMJkZ/zk2G+D3Wr7HEadaOun0t9koKmyI5kFUgLpRlFgdFY76\nQdcDbEbl+eURDjIH2DnV4yKa43cdWcS91+7Dr/zFI1gZFdg364/Z49ZxzowPTsledc0+/MI/uAP3\n3X4ZLgXbZU61TwMDoVPquwx5p1RTTUhSExqnNEB681ACKE2fqNQonsYoUTyt6IKnBGkRcw5MUGiW\nDgp4as8ey9y9kqklTq2YVJxTLccfZwM0FF6TBHRoLqO9pIowNfoEd4pGRUyfqNgYJRrNAwZNxUOe\nR87suKgcOq5TbBL0lUqh32Sh5mkKqeYNdrgmc+r+22yMrbyP0p1atT4LNCbR/PGbyFjMH460S/qT\nDCo5NzK4/8Ec94Gj3Kjp+00U2ctczJHMhFrmbvyFrInQZAv9efS3nNqlZV9x3RL+p2+4RVUcIOTu\n1dcuBa+T2sG/+S9fwqm1ieskB1jnfHVc4kvPn8WkrF0aHbBIdVnVrihsyALn2X5uOdUCqaYugtTY\ngxc38n4Fa+MiQMXVQkVCXzsmCLapRoPe04pUM/oHX3+7Dfoq1zwN5JHPf1HVGCmFfpJO1mF7BJdx\n5dfiXOYyGqNRizDpmmXFkXZ69vn49aCgqDjfPQ+uZ8cfntcT1BxecG+1qAt3Hh+j5U1XUQAC2I6L\no0kZjYOObUwqrIyKgF4xZNSQY2c3cCiBVD99ah1LIsvzj19/vZvHMgN046F5zPZyHJjvB/MHsHvP\nO+66MgCNdrLtLqdaOBxckouT91PFcJpcWs6cgKIMK3MDx6eIUUjucEjeLt/MI6dOQfF6Dr1QkGri\n2QVFdEpQwIry6H6FhZbxgkPjkQuOqj7RQj8I1TM8Jy44jyGl8v4TIhJzqv0m0hMoqqcmaPQJdo+V\n1B69h17LMi/P1CbpFqPA/n5JST0r+2d/tpxqHakuWYGpDGr4JhjQmITjb48TsqTTb8pG/YNvuAFS\n3eKUquoxrXMknuO8El5StNz4Cw1N50FBrGVux19FxbgB776KGyNNkepL07p5hu95zTXqJr9/ro9+\nJ8MdV4UoNqkg/OH9z+Kb7rwc3/2aq90x4oz+9ZdPAACGvRCpBoBnzljlkD77zGGv07Qpj50icma5\ntjUQ1gatjcvASefOsdZhdsL3I+l4shofvg/0O57vy9dDe00T1vHQGsvpfCIrTPtxWdVOqk/Tqda4\n2Hw9pNf892brIaN4cNWTqCaqoXj5AF4CX1xnOw7SJe0iz1oKRRn9Q6LRc4MOzjbc53EpJfUsxUPK\ngQIeqR6JcdDPG5MSK6PCKX/Y69n3rIwKvLAyxkGm1DHX6Kv/zaOn8MgLq3jDzQfB7atv2I/brlgA\nAOwT9I88M3j1tUu4dv+lQfFos53FAD9Pa0NRfetOpvOsdlQMOaXcCYg5yZZiUJPcWEtqnBY3Op2P\ncdj1i4o9xlED4l0RiqfpJHukN9VRsWwWjzb1g6ROdVBo6ZFvOjbb6LJq1ATuMHUy06CQKWQjRqq5\nLraGhnJOOF88gkI/jX7DFuEZGYCUddSKnI5PFE67lHTrCOeMrinpE5wiEUsCZkzSMD1+LfAKAheB\nLPGumzIbQIW6kndvP6eK5ggPvEZFuMHLoiNJv9EUbgDPE5QNjuz4DfQGTTzwFVrybBOXdQ+8UFTO\nrS7jR05t99ibbjmE267YEymGXLU4g9leju9+zdX47998U6BWcO2BOcz0cvz1I9aplkg1ADxz2iot\n8ELF2Z5FqiWnGvCUgI1JGawLnP6xPo7pH6kW2r3cS8tNBDjUzb3jLPc44vvWNe1/Yj0sfTFfijIG\nQFFf0pqn6B0V3THBqeagjNOprmOKiqZTbcdkAnECmTEuGEVFSupZTnWovtLNYzSd87RpHBKNnu93\n8OyZDXcson8wp1oi1ccYJ7+vzJ9V4VST4/306XWUVR3wnwmp/g9/8zi6ucHXCbqGMQY/9IYb8AO/\n+SlcyRRuyH7hH9zp9s1L2XaXU60UypFTodE/HCezRa5LtiyV6XsAqGoqVNQdPr7Ra93mYufYnmc5\nyfZ63KmW2p9B844EfYLSdHH6niO9eXCMOxzcOTaG874VneqqiugHQMNvY+OPzmOBi3dKPdLOnXs/\n/sapm1RYmtVReP69HfKtBF4c6ZVSUDR+jUPIOeGaQgx9jt3MwjnCxz9IIdVVevzcKeVV3zKbYb9f\nltCp9nOcO8D8/M0KddfHIaLGgwKuopIr84ePkTicclOlcer0FT9GeT3ZbKInnl8eVHYz/btNbffY\nP3rtterrB+b7uP9n3hKltgE7V267Yg/+5tGTABByqhun+tkGqeZO8NA51THS2O/kjaReuC5InWpJ\n/ygqCwiMC6vNz8GhAI3uCKeaKVPMdf34+90seB61IFfjPwO+uJk+3x7z63lUqJiF2V2AOeNC/SMz\nnOLFkGqW1XPfrdD3I4set9PJooLDAKmmQkU/Ri9RGyLc3Txz3QrlOjo/6ODvjk3cedyPcE51065e\nU/+gTAefJxypvmp2JrgeADzRNHI5yOkfTYblyZPreNMth9Qi37fedhh/+c/egKv2xU4152Bfyra7\n6B8tSHW/4x2OuNDMvmdcVslui45+kEgtS53kQIM4QsikBnTo3NhOTqH6gefZldEiwLVGy6qG4QsO\nc5gmZTz+qqaWsSIoEEi7dLS4QomK6pMWtUjFjRWHlXe3mrDCO/53oAUu5IR79Q+NE66Nvy2o4a2w\nZTaDxhlKuilIqXDqglRoGTusASe8K+cPLxTVxy851Z3MYJ3NcT5+6riW4t1PyipwgPkx4hfKOUKf\nszGpAqRNItVBupmloouqCtB0j1THmzileZPqH2VcjCiLpvgcyTIReCX47lObGgDVoSa748o9TgFk\nhjnHlCZ/lpBq9ozMNvSPjaK0jWqC4NLSP2QBc9CmfFIGVBO+jo4bxNOwbOyYOXzBc9XhLcA19Y8y\nWrPtz5kKQPCMpURsZY1DJ/PFzbwOJlbjCdfs0HH2NEBt/OMEHa6T231M0leCFuwtnOr1SYlOxnsL\nGCeSIBHuHlf/EODK/KDrpO/kHtHv5qhrOHpIUKjo1D9s4WNA22m42CujwhXf0r3KM4PHTqwCAA7M\ne6SaI9rvuMs3PpKmOdS7yXaXU81oEDJdpUnSaaoPbcoI6dR4e2OYkazSZqkszuntOuemjtQPAM9v\niwotxSImETeA5N5ipBqA6zbXppPchsLH49DpB71cjj+mlGit4AHPb0tJ0o2LKkjZ8kIz6dSFKHDc\nepdQcT42P/508xFKhUo0na45Fmk/Pkc2JkLuzXDURhaY8u8WOqXDZjFVkaUOOaU6xYbUMyS33t4n\nfY47pHoS0j+ioCDT509Va84EC2rkJqgGNSyboTjHqfHz4ERzxqdI9dS2ai9vZMMAYKYf6lQDNt0O\nhIWKw16OqrYdGgfdPKCUePpHGKzSHB0VFdbHReDA80ynrDHhBXsSKZXHOgEdKw8ohzGnmq+VMafa\nc4FFAFxVSnE2U2wSjrpcs3OxLsjaCH6/JmW85wCkiMJlOOWeb49lRvcHNuSax9ZljfbiMwUhVZQ4\n1aRFzfcPuj4FbD3RGIYk9eT8GTRB2aooVDTGYNjNHVLNux/S++YHHXyN4FNPzdt5OdXGmH3GmA8b\nYx5q/l9U3nOVMeZPjTEPGmM+b4z5EXbsZ4wxTxtjPtP8u+98xrOZqU0sHFKdwRgEfE3uFJGjEtMP\nmMMkHQ7mMMmFiqOQsqAkTHP54rUgbaaoH9BCK506JyukaFHzBWJShYWKGfs8QjbceYwfJhHuDpNn\n4sWDPNWuOXVE/4hkz5xTrbeCd/eklM5xhtoh7WVLR0Whr5qF/DzZmEdDc934FfpBqKGcCAqazScc\nIxwyY9VLdPpNXNEepkIlfWKdz/E83JDVNvGyQU0QlPlnKprjbI5Y7meaUx1IWeWhEgG/x4Mm7Z2i\nr+gULTl/4vGn1D9C9RI9YJva1DazO5hTPcvQ47l+B93cOM4sR52Je31ybRw4l4B3ZjckUs1QVI3+\nYY/pyiC8Qyvfx8JivhjFHhUVKw7MgmOFWrgdghPBftr8X1VKcTlf88rQUQ8Kn8Wa183Y+CXlsClu\nVoOChoOeAkksECKL+zmnugrWPNKpphore995poAHLhyp7qBossWWU81Akp5wqnNO8cjUOQJ4FFuq\nf9jzcpxtqChcp7rXyTA/6ODrX37ZJaPUcTHsfJHqnwTwkbqubwDwkeZ3aQWAH6/r+hYA9wL4QWPM\nLez4L9R1fWfz7wPnOZ5Wk5sr4B8Q6g6lSerRuYRUy0gXYM1HFBS4LONuR3zDjlG8LHCY2ugHIVJN\nDkeMonYYXzbp1Im0k0zFpZA6GUzkmaAfSBpHsFCFi/BIKabk3a1K4fi3p/bhxicX6E6WuZRfxCVP\nOKVcy1ny7un4RAlqiCesBzXCYVWQ6rquo0LFwOFT5p3r+ig+j6rFibkQIUtBUBNmCrT5HyO94Tyg\nz9FQG14oGhUBUqamlEFBFmixS13ZIKhhqWG6F7wolY+fNkip/kFBzYYiyThFqqe2Vbtq39BpWc8y\npNoYg8WZnnOKuLMy0zjfp1bHqlNk1T/CDFxboaJXgapwSjTooKJCIKST0THfGCZco2gcWubOI9Ux\nqgw0HU7lfiRQ7HjPFLJ5ClJdVXWQneMFmjIo6AogJJPjr1ihoisq9CBJJJUrkOpBVz82KS2nne6F\nVGYJOdV23ixvTCKFJVpTlx1SHWYRiP4xEEHZoJvj7EaBSVljfhA61aSrvXemGxXk/s4PfCV++utu\nwdTSdr5O9dsBvK/5+X0Avkm+oa7rZ+u6/nTz81kAXwCQJuRcROObq9QSBjyxX0UhHYoXp9rtNb2y\ng/s8ckaqOMLMDduwBf0jxTfVmlhIpHSktMmm8VODGqn44K6pOHV0LFJ2yCTvW3DYAhQyRgxVpDoP\nkWrpfBaqU8fGHzn3IQoZdctLIL2cL8vpK8YYDLoZNlJzpEOpREWZonGQtWI+O/4qSu3R+VVNOtWS\nPsHvvxy/jlRTW1st00Hjd4WiJHPVZDooQyIdZz7+GM0lpDrNqZaBRhuKTUi1yqnu6IVFMdIej9+p\nl/C/DZvH6+MySNvzbMzUpraZGWNwe4NWc54zgKClc9D8pZlvJ1cVpLprOxmOhPoHD/xjpNoDEGdE\nRzyeHZJ681zfWqLAfZk5auNUK4XDWgYIaCT1ilhGlIJ0tVAxMUZLG4nXc7onWsMxGj+pYtHnA6FC\nlwYk2GNVDCTwouhmrTRcoYQVbgdOdYMkkxPMqSGDiP7Bj2WoamBlowgQc8CuoydWxwBCNRrAO+qH\n5sPOhwBw0+H5gFs9tdjO16k+VNf1s83PzwE41PZmY8zVAO4C8An28g8bY+43xvy6Rh9h577bGPNJ\nY8wnjx8/fk6DlQ4YEDoVgyayS/FNKRWUC2cJYOoZilM3LirUdaghyVs4S/pHUCjHnICAflDGYyT6\nhwsYomhdKZTjC5yingFY1ENq+Ib0iTSnOqVMkaKvaJxwGr/jJIvX7edUkXPfYQvcKEKqGV+2akPh\nw8+baYqH3PxRCxXDe0s/k6RhCumV+qRygQ6R0ixwPLWmBXQscEob+keZGL/GqbY/+2NtdQN8/Jnx\nha5RNibLWNFRyPPvMqQ9pq9k2CjKKJtB452UtUsN0zXdJlhWKtWHxiC12Hkx7tq4wEw3lGTcqYWK\nO422d6kY6VXPCaeaEOPMhIVm5BCfWtOQ6txJ6gXqH6xB0nqqULGscHp97BrWAKLBiwBQCOygY3yP\noBqHibJm9JqMn+QkG2PcGpsO0uPsLg/SNWlYLbtrv7dxRZhSUo8KFbX9yCHtDqn246f9Q2ZHeeAi\nNcS7HKQqwrWeBy5yPyUk+exGEe1VBMYtK4WK9Nmn1+OgbNDNcJKcauEk0zrNNaqntnXb1Kk2xvyx\nMeYB5d/b+fvquq4BJKEbY8wcgN8F8KN1XS83L/8SgGsB3AngWQA/nzq/ruv31nV9T13X9xw4cGDz\nb6YYL6rSnNJB13YZ0pFSXwSlpatogdCcUpLWiTWIbWp/fROkOirY40GBssBpDl8ns9XdMlIPiy7q\nSNINsCgdgKTjuRHxfXkLcD9+onEkkWrhVEd82RZOOKEesuAQ8FzmVEdIiV7yVKj8vGE3x9pIpwj5\nQsuwMp1+Jqc0GdQkMh0WtZE61WElfIj2hOOX2Zj1sV6tT1qpqsPaFBbKz+Lj19RLAFvoKjeYcI4L\nRZFEpgMgtQH9GY2a17BNkLInMisRBQVKNqaua13zd+fSP3YUbe9Sse95zTX4t992J/bMhNJihFTL\nYjJP/5hESCPRLkZFmAEip4rUIFKc6tOC/hEgpZVcD3178xipbuhYCqeaAzn0O1meGZfBlfU4gM8u\nSpCBgnS1wykHGYRsXooOJwsV4xoNHeSh/WMcNXXz418X9A9eGyQRbq4FLu8JIcOn18aoa4ScakKq\n1+JCRXKkzzSFrtz6ndx9L0n/oPdyPvXUtm6b4vh1Xb8xdcwY87wx5rK6rp81xlwG4FjifV1Yh/q3\n6rr+PXbt59l7/j2AP9zO4LdrkhsKhE4pVcvKQjPAo5BZZpALVA2Aa4+sOUykM6oVQY0aFDtS/3BR\nt3/4XMFhqRf6WfQi5fDZBa6qw+/FNaBTyhS+zWm4eDgUb1QGPEHO6ZV0GXK4aW5HduUAACAASURB\nVAHnHLZepz2oceolCUm0ohIdLZvvtqa0aeX3WJMSTBW9UOtgbaPodazWaArFJtk86WzT+GVqL0Bt\ninadas0BBhBJ4A27OU6vT9Q5QlqpGlKdEwqcCGpK4rSzRZ0HnOsTqVMd3uNBN8z+pL6bpWjpc7yb\nZ1gbF+qzQX9TWYzLU7Kaeglg6Tdr4xKX782j6+1QezuA1zc/vw/AnwH4Cf6GJgP5bPPzWWMM0fYe\nfNFGeYnZvtke3n5nzHwkBZChcHzIIR4L5SUgbP6iFSqebpwsjf4xLmqcXp8Ezj3nTY8LoTDRy7HW\ntMmWWTGv/qFxqi2Qo+2nVAw+iYAc+z8BCTLIBWyQLgsceXZOWzNo/BJkoKY3GmWSAmeSwQsR6cyt\nGdoYi8oWKnKH1fc5IIRep0xOysoFVIDnVBOy3Kr+wQoV+87hHuPIUihzF0g3SqS6mTO88cvUtm7n\nS/94P4Dvan7+LgB/IN9g7Kz/NQBfqOv6fxfHeEuedwB44DzH02qUdko6pU1bT+/U+XN7Df0jJemm\nKSPQ4rPeOHVaYwlCgZPd5iSynGeNA9+giUJmacwWiHAsWYPUSfpBSInRvtvaOBaW58jA6rgIFoEI\nNYgQ20rltEtJPRnU6E5dmn5DGsxrTSVzir4iudgBJ7kM6RPDXgdrE71QLpZniv/eko4RIu1x8xc7\n/iYoEEi1l3uLCxW15jVAk40Z6xSnXsv4u03xrGxlLx1/nX5T2+Y1LXM8rrrXu5z1m8BLR5ZMktrl\n6CviHgdtkWUrdVY0tSaRapbp2IH2otH2pra5kVa1RBP5mqrSPyYVNgRSTZ1pycni+wrN7bMbE4yL\nCnuHYaEiR6r5ergw6DrkW1Ls3J6TyHxxSTqtbkICORzplZJ6XI0qblQm6HAcSGia6Njxi66PUrEp\nj9eMFFLdRl8pqzjg4T0hJMIteesa/YOcatmmHEhxqr3DLedPoDKTon9MkepzsvN1qn8WwJuMMQ8B\neGPzO4wxlxtjKCX4GgDfCeBrFA7evzbGfM4Ycz+ANwD4sfMcz6bmHmYlxT3okDKCksrKdPUPWmAo\n+mxzSjX6BDnckm8aSLpxx6HZzCuFt0vohVsEFGe2jX6gOcCbjb+u66jVaYpTbceYJ9FoKakXowZV\nfI8ZGqoVyvHxb7XQMmcOq7wns70cayMdDXWFllpQ45BeOUdooY2pFfS+1QZlkUU7nD4RpBLF/JE6\n1ettQUEgLyUzKzH9SXYUla3sAWBS2CLGpE51JR31zZFqfY6kgzJPX0kXumpa7ICV91qfhEVfL3Wk\n+qVA27sQdTC7wRYd/SPcjvl80woVV5t1aCAUGrp55hvNKJzq4ysjAAg41d1c6CSz53Fh2MXyhr1e\nRP9oxrzaABcxZY83eFGCdLnniCBdRaoTABDP7vJnfIY51ZZTHd6rsGGUQI+ZJGBX8QfGRdxoBvBt\nyiWQYI9VEcJN46jrOsoUkFN9as061Ryco+vT3ydU/2j+NuMymiOcTjSfcKqnSPW52XmVcdZ1fQLA\n1yqvPwPgvubnjwIw8j3Nse88n88/F6MiKM0pGnRznF4bq+lvj0JWquNZaqn95vw2TrJzqhOcak1C\njiJk/vkAq8RWUGDS6swatF6OsVSKuAjF23BIe1w0Ygsjw4YGMdIeLhCrgVPK+ICdvOlaqReNEBqt\njX9C918JGLxTqtNXJBe708KpnunlOL02UYMyap6iBzVemULdRMqYmkD3jZBqKc8UFiNKFEgv9Bv2\nSP0jzsZ0Oy1IdXP/tUYzdgwxT5DeR+13Q35hJoKaGOGi79aOVId8Ur6Js9NcEFVUYWqVI0spJYKi\nqrA6EtmY3CsKvBTtpUDbq+v6vQDeCwD33HPPSzcC+Xs2zqnmNtuKVGdOS7gvnPFubnB6PaZ/0Lpz\n/GzjVHP1j4xrKIeO4sKgg41J5YLZXOw5gAcuJKd6nKBW0BpVSMUd9jxKxSauRqVRFVMKH9yplplC\nuj7VPUn1jwCAU4rBLeVNR9o3JhWGijKLVj9DzjCtX/yeEGB1cnXSXCemf5BT3VUcbvtzOEfa6B+D\n3hSpPh87X6R6x5lHquMH3W/YaYcppX5ALUs1TqbjVCvdoTT6R9BYRepqtqTonaSe5hR1PCc5xSmV\nnRFpYXX0FYU+QQ7TXD9ERFLqGXP9juXtJmT/Ukg1L0JLFfMVVbjA0XfTOeEIONUyYEiNf9iof2jq\nGXL8ktJAmqcp+pCUXWxHqlm6VjqDuS+wizcRQqp1ZGZccqQ9zAhohX4dNv8l3z0T409xqlOSelVV\no67DMTqkOsGBdIFvZoKiL6J9pbIxlOEJxt+cPy5s8JjS2d6BtqNoe5e6UcGg5FRzoEXqDPO1QDrc\nvU7udIv5NWiNI6eac6q9vnUsE0fSe8vrRUOfUtBQDalupOw8Ui2cYIWyFyDVCb4yIdySdlEwIIRf\nc6bXwXqCU03XoD0uAnKqxHqeMU51Yvyy6YrP6undfwGPYkuQZ6aX4+TqKLqPrvnLmkL/EJrV3Pjv\nafrHFKk+F9t1TjVXkQBCpGvQzbHBnFJJu9DUP3jzl1QR17qC9G6GVJeBUyFoEAnZM0f/KGO+dSfL\nEq3IeYQcF+wB7fQPQlEl+kdOUVWHaPpcv4OVjQR9QkoCRvSPuPkLp9/ERS9ZMP6UJN3ZjSIoKJHj\n5/d/thcWKgZt1jtp9QyiZKTmyLi0Bav6/Y+R9sDxV1RDykpvZe+QasVx9pxq25ggE+MvKF2rNDjS\ninEdUt3wMaO6gWYMUiaqm4WdEWWziaq2ijP88+mzNdlLOxavE64FNaMGqeopQRkFjpL+sYPVP3Yc\nbe9SthRS3etkzumTaHQ/cJ7Eeblh9I+YU/1CQ/8I1D+YUyeD44XGqT6zPo7WQxoHrbEBp7pD9Us6\np5ooe0F2lDnOUqeajhVV1dS6xPuDPR4CCTO9HGuT0oIMZdymHPDZZLmOkuMvj7nC54QaUlnZ5jsS\nSLD3uKnfEPQPAJZ+J0ASwO6bvlCRodHN/aGsBfcx+ltEqqXuNOlWTyX1zs12nYq3o08oSJeV1PN8\n00w8fJ5TzdEs+79zOJSihXXH6Y2jYDo2oxRB6RG+LVTUOLGRpJ4oGpkUFdDJVKS9aLSotY6K6yrS\naxcxQiFnI/USnYYyN+jgqVPrKn3CFr0k+LIZ3f9Yfg2AkyPS1EvI8dd0qidlhfVJ6SqstfFLZGB9\nk0I/Tf2D0p2TqsJcN6YfpChCALA6Uu6/2ETiAhtde3XYzTEpa1fpn3JK+fcCKJiLmx/JbICWyl1R\n0tQBUq1skKlsjEs3j3SnetxouKvjr2j88RxZd0FB/Gxo8mQ7GaneibS9S9kWE041QM9roXBiM/Vn\nwGZEn2/QaK35iKN/CPUPwHcJ5OvJglOfiCkG5LjRPiDX7HGzr9jfxVqjZke9Uy0l9ehYVVEGNwZ5\n6FwJJNQ1HFVRZncBHxQEHRVzn52OvluzRo3LGjO9OBAfN46zVqhYlDVOro4DzjI52OOSmmiFj978\nwDvVQS+AzDgwrZdnQXaOO85RoWIzn4bdPAIgvvWVV+G6g3PTVuTnaLsSqea8V8mpHhUJZQHGl+Wv\nS+3lroLirSsoXpbZ7lD0MMuCBs6bbivmk0WAo1TzGofQ61rI5JRyJ50cVkqdxU5p7dJ+s6JQMaya\nZpzqfgcrI13SrdfxTlE8fq/aoo2fnDpV/YPGn8dIIzlMCwPOl5Xj50h1B6tjnb5CWqNVVSOTSG+e\nkqQLOX2aU7eWpE9w3nG4sFPmRN7HQUthUSf3bb7lQps79Qw9cNxQnFJHXxm1K9yoqdyqVoMyN/6x\nVhjldXFjpNq4TVwbf6qYFeBONZ/j2U5Gqqf2EjKv/hFvx7Suxkh1C/2D0e9U+gcVKnL1D+bUTQTF\ng5Bqoh9onGS/noR0soKteREdyxWex3umVqjI6zc0qiJXDAo41eT4j4qIzkd7sts/5HrimoqF46f9\nT7YNp++yptSRcDWhY2dHODDnkeBu8N2qCKmeH3Rxai3mVAP+b8zvFRDOkaijYvO7pH4AwJWLM6r0\n49S2ZrvOqY4cVkHs35gkNHAzXf2D3kfUBA0FTqXGqVMeEKt/pLhcthK7UFNqFLGmlBHIKeKvk/b1\nRhEXPkr1DMkXt0i1PcZ1qnkRhxz/3KCF/tHCqaZ7MikT97ihA8gKbYDpVCtI6dmmwCNEqjNXYS7H\nOOzlqGpgfaJsIh3O+w4fLSpsi+TvBKdPCxg0pDozoa5p1FghgbDQPCNHMRP3PzX+LqlnSAde8O41\n+srqqD0okM8NIealErjQRkHXjHn3MUWIxlmWdUQ1ieoGlJoImiOXClI9tZeWDXs5Bt0s4lTTMSCm\neAT0D3Een9+q+sfZEXqdLHD4QqeuDvTm9wztNU44SbdwzwH8GiX3HMrOqUFuGWvzy+YvkvJGx6LC\n4Rakmt631mQYNfqKzqnOPJAjkGPa/1Jtyl1xtuiNAFjE/MTKKKBXkEO8Pi6jPQKwSDWpf3SF80yf\nIdHtEKnW6UOy8cvUzt92nVMtU8sBCtYUKvp0Vch5mijpb8A6cm1IXSq1X9UecZOc5LLSuz7uHXZx\nZm2s8rz6ndw96NH4M8YJz+UCp49fIu0aUr02SqN4WnDiChUTSHXVpOkkssHR44DbRgolCqePHFZH\n/8hDZ7aoaiyvN0g1q4R3xawKRYJoLnQe9916jVM3KSuINdFtIqlMgVbMGnGqU81TIs3W9PwZdEOn\nNC6CjYNDeU90ilPl7oE8Rny/sG5Aqn+Ec4vTV4I53k1zOLlspD7+WFKvLfClHykAiRR6ypeu+sfU\ndpa95dbDeOXV+6LXSQEkUv/g9A/hZPE1RFP/eGFljL3DbrC+ck6vVIEi+sepxqlW6Vhq5sgDOV3l\neXTF5crzWFRx8xd+LKqDiTjVIRAC2H0skqjNxXoikPZJGQMhdIyyYlqbcm3NoGscOztCVYcdC48u\nzQIAHj62EjXRAqzz2yTuIuc5hVRzh14GZR6pnlI8LrTtujCl4x5mBQVrJtq6wg/rNs1f5KYM2Ad6\nw0W6afqHxg/TirgoVT1xaLo/b+9MF4+dWFV537TQkhPPh0no3ySvMSMWiDwzLP3Fxm/CoEByuVLq\nH4RCavqkc4MOJmWtOkW0KGxMyoCP7MZfVSirEA0lpF1DSqNCUSUo8Eh12PkqaK+roB50Hv97+/FX\n0SLcyY3T586VwMs5dUrzoFWt0DKnjpwl1icl9gYth2W77hjVWkkgvdR0QQscCVlqK8btduJjqxpq\nk6e7VnZFu3qpXsKvKdVXkoFv7lV/tMCXnAJNHssj1ToyNrWpna/922+7S32dHKbt0D/6zfNuTLhm\n0PpdVnVQpAj4tYY6AwfNXxrA4YTS0c/pVGuFig6ZLWOkuuFUTwqdjkXrr+ZUV1WN5Y0Jrlz0XQLb\nkGpyHFdHBeo6rpUCwPbvMEi34FClINXGUVS0OhhNRpTu6bOn1wEgoH/cctkCMgM88PSZiH4DxOpa\n3OjvH9E/2jjVzTFZpDi187fdh1RnklMdT7zVcfyAdTPPN42RXqNyYmVqOWjh3BxzD18vfDBTnNi9\nwy5OrY5VviktmqvjQkd6FU41HVPH7zjVeqEloBdxkbJDilMNAKfXxtGxnkMNimS6UB9/5sevoB4p\n9Y+yWZwBROof/P6HHRVJFzRGZmj86xNlE2k4fxK1iZBSdo9lR0hNko6KV2Qlf2r+DJ1TrSAzzWeP\nlPET0puqG9CR3pBvOWRznNNXpMzjvpkeTiX04gcCqZbp2qq29QHa+EtC2hW1AQ1pd4Gvpv6R+66V\nU5vaxbLZLdE/JFJt5+1MNxd7gH8fl9MD/Lz3km7hvtjrZF59QqFPaJzqjnNYY44w0R8nmyhOpVqA\nn90ogjoYynxZhQ/RBbdLQIiyZnf8niOPEQ1wrBU+Z57iGO6L4f0YdMJ9EQCePbMBIFTXGPZyXH9w\nDp996gyqOnacOT0x4lQ3f/+edLY5p1qi2M0+MHWqL7ztOqfaafEqSLUs4pJIr6b+AdgHSePEbsap\nBuyDnmcmeCB4ZbS85p6ZHpY3ClZYqKTGR7FT5JQdFKS9w5FqxSnySHu8QJB002w/RHpTnGR6H52n\nL3ClgjRmydQ+H79aNKIUWhLCebop/lgYxI0Q9PGHnOQQ6fVBiIaUemqFH4dpmvH45gPx+FWkulnw\nT6zYjY5kuQD7N0wVulJQoHGSeVCgq2fYa7Yi7S1Oab8TBwVALAm4NNfDqbUJRtocF0i1FhSo4ydF\nlATS7tRLOvHzq6dyp0j11C6+UXZEItVBY49IUs++d9gLHSYOmPDGL4Bf9y39I5Z0Wxh0E041PY+a\nGo9/HtUgXaGGyMyR1OYH4DKMHAjhfOuYUx02SJHa/IAPqrW1YVSUcebRZe7CgIFO92BZLGn4jEOq\nQx3o267Yg888edpeX1H/kGMmo3VJ/s0y5ldozYMAvVBxaudnu86pXprr4+TqyBVJhZxqnxqX1b5e\nczOOWjl9gqfaI6RX0BYA6xwMBaLg+WaxTu9eV4lNC5ySGh8XamSt6Wzbz9ODAskJ11CD5Y0J8syo\nGtAaJ3nOIdV2gct4+p4Va+QyG5Az9Qbt/iuFlnS7PVId8wtPKU615LSHhX4h/UPSFoA0Uk2OrjZ+\nTSFGFvppRTukObs0FyLVXHZRQ3pXEpxqN34lG0NyexrSntJi5+NPabFXQst8qUmLkvSXFjg6Ca8g\n3eyRsTjd7J+pNoUVLShYVrMx9u9Z11PHemoXz2jOxc070ql9msN8vvLXgVBOzx5rgktX8B0+PwtD\nXSe534L0OmqFAjI4GmZC57kNqZ6UFVZGRYDecr61DPzpPqwoSLXrqFhoNRr22CixnlDhOR8/qYGp\nhYrNtZ850zjVomPh7VfscWCTRJ05oiyPUfZRotH8tVineopUXyzbdU71oYU+nl8eJXSqPQqmOUXj\nBFLazY1rHtHqcCTkuuSiSKkx7/jHi+EJtWjEI73RGDvpIjQ+/ja5Mc0ZWV4vMNPLI7mhQL1EcKoB\nhlSrC7SONBYK0kuf10Y/0IICGj9VVM9FknqsUI6NkZDqZQWp5vSVyHFu6DdS0i0eP1/UG6eUgoJu\nnCk41jieAVKdGZQJ9Y9Btw1p9/dLVy+JU6seaVcKRQVSrTVCcJsZG8f+5rs8v7wRj18gY+EmzpHq\ncPyu0FKkmyPevbLBE8I1w/TF6TmfotVTu5hGDmGs3pBu7EHBfbtT3VOP/c2jJwGEGUvAdlVUgZxN\nCoeB5nmU9A/iVAvql8wc9RUg6uxGgarGlpFqCuY1xaO25i98PZHoMIECY0X+Ls+Mc+ADSb3mvj17\negPz/U4AMgAWqfb3RwQ1LfSPFKca8HtGqtB16lRfeNt1TvXB+QFeWBm51LLm1K2OYqeu10kXQeWZ\nwaiI6RN+wya+crxhr4yKaPHLG6dIE80n7uyJBqFMOaWR48wcXW0RcONvaYyhBQVn1ifRg0nj13jr\n8327OJxen7j3kjmnVEF6u8zRjRe4DKM2SbpER0LAVrTP9TtR2i/kVMeohy9UVJD2SRUhvV2G9LZl\nOrQ5QoWzA2X8hObumwk1ZzcKvWvoUKh/aOnaDRVpp+JN7f6bTee4HD/dH+IX7mdFO4RUk1Otq38Q\nRStGlrTxu0LdJKe9Gb8SeKnqH05zdupUT+3i2QzpVLc1f5HHHP0j3ldo6sdItT3nf/vQl7BvtodX\nXRMqkSwMur5QMQByWuhYbXSyAKlOAznankNASBqprsWa3ZJdFE51ZuL9I7Ueai3d6R5o2Tm63onV\nMQ4o3QpvuWwB9PExp5oF9MJ5HrY41eTUp5DqKf3jwtuuu6MHF/qoa33D9oWKRRDNAl7IXkeqM8aJ\nVTZsBel1SHVD/+DGW3Lz6wC+wIS4tJp6iYr05hkmhd7YI1Vo6Z26NNK7vDGJggJSL9GyAYQIU6Gi\nxqleHxeR+gfdk8xgk/FrTmkahTy1Ng4KXuwxyalmTmkvLHrRgoKNFNLrGqvESPu6gvR69Qy7qGsF\nPceWN5BnBnsYR/LyPQOcXB2rY+RznH8GwIOCWH3F8bRTnHxFNpKPv5sbNeB8/MQqAASV/ERlOabQ\nP3w2KQ6iesyplsgMDxw1pL1tjpzdmKCTGXWDnyLVU7uYNtNNIdWZ+jOQpn/QsVFRBY1fAOCmQ/N4\n3Y0H8NobD+Bdr7oqULoBrAKI1rVWtilP1pgogbgmV2eMdfzVLrLNtYk6GPKM7fvaOdXKmk3jV9Sv\nOiwoiAstbea6VooK88w4GVGN/gGEyh9ks/0Orjswh4ePrUSOOs+kSmqOk9QT4wD8/ZOB13y/g+9/\n3bV4y62Ho3Omdn52Xk61MWYfgP8HwNUAHgPwrXVdn1Le9xiAswBKAEVd1/ds5/wLaYfmbXHA002x\nAN9geaGiSj+oSMMzXiBcZXGb+oeG4m1MMDcIUQNKLZETwCNT4lS/0FKJralndPMMky1werVCubWm\n0Umo+mB/PrtRRNGu54QrzV9EoaKO9GqcXpspyDOjFtG1OaVrY+vUBS1onVM9CRAPOpZSz5gVSHUK\nmZGLIkm6acgG57SHRS8eaZcbp0OqV0ZYnOkG3+1Io3n66Aur0fi9+ofeVhiwqK3MPnQz4+S2ZCqX\nz58Up1oWU9H8eeyFNQDAlYtDd2z/rECqWzicQdEkS9fKOckDL22D17Mx9ueVDS2bZI9NkeqpXUxL\nItUdj05GAFBTbDvsxtu7c6oFUr1npov3/cNXJcexoFAt7DiaPTOhngEgatdN7ysT66Et/Ne7+AK+\nnkj2FgDgsrGSFpmZhPoHA0IAUaPhMneKmlBu1P4TdB61dOffm79P8qnJbr9iT+NUS6S6Tf1DL1Tk\nny/vvzEGP/W2l6ljmNr52fnSP34SwEfqur4BwEea31P2hrqu7ySH+hzOvyB2aME61VSByxE5Lqkn\n0USuQdzG6dWQ6lanelQ4NMJfzzrwjxy3TtHRfR7F2yvoH5pTaukr8YPukVINaVfafDeXWB9XSad0\neX3iGhTwYxzp5QvVvORUK4WWGqfXZQrKTZBeRe5tbVxGUTxd49TaGAtDMX7WRESOX/LzUkFBitO7\neaaAIyUe6ZVONRXEHlseBXxqwM+XR46vJMfvi3Z4UODTnZrjOVKyMfS7rlPdBF6jIqiC59d44qR1\nqi/b6yvhF4YddDLDONU88JWSgHEq1+qEx0i7xluPxq8i1UWE3E2R6qm9GJbmVDdpfSXlTypNOlJt\n561U/9jMeCaMrw3GWIUJarDVUZzS9XGak1woErV5ZlT6B+0/tHe0car5GmuMwUyv44AQlVOt0gd9\n5ivu0MrXjHj8tCwMlToYwNJQNbv18gV7/ZZCxaijYiv9I13EOLWLY+d7p98O4H3Nz+8D8E0v8vnb\ntkMNl+mZ082GzR6INqQ6cDhaNmyVk9xwnPlD5ZHqQuW+lVWNLz53FoNu5rotAR4xINWH0Cll9AkF\naa+aboVb5fTyRSV2SplTLboyEVWAHI6uGGMnM179g12WS+rF1dbUul0X4m/tCDkugiI/e8z+f7oV\nqY6dyF5ux7+sSAJyfp52/30LcGX8SqGMR9r1YlbAUiRkI4cjjVOtIdU0Rwip5ve/Vb0kEXjZ8Wfq\n/KFrr46KyCmg6z92YhWHFvoBEmeMwdJcD8eWaY63INVKunlDvf96gyO6xnobRUuhOHFkbGpTu1j2\nuhsP4DvuPeKeabK+48oqjjPpVCfoH0CsU72ZaaiwG0vHUiGAdOZOz5w2uveaw6rQsSSnekH0FgDQ\nAC9x861hL9+STnWQuWvb87NMpUXKe8C573wfTCHVd1y1145X/F0XtiCppxYqdtLzZGoXx87XqT5U\n1/Wzzc/PATiUeF8N4I+NMZ8yxrz7HM6HMebdxphPGmM+efz48XMe8NJcH5nxSLVWdKE6dczBlNSE\nPNMl3VxjCYUOwDWII051ZosKv/jcMm46NC8e9AzzAy9vxNcON/6EzjBA8kAa0p7mhK+Niyg6puud\nHekoHmkC8+sA1mGaG3ScogJfgNp0km2bdV1Sr5NlXn1Fk2dSgwL7+2mFUz3s5tiYlCpFxRiDYS93\nihxZsED7+yUdz25uWHFsfC9JBSPkrfsgI0KqnVO9EcjpAbYIaX7QcZkOOf5BN1Pb8nJOsoZGuzne\n4rAGHSHZ+LU5DgCPn1gL+NRkS7N9lVPdySznUm8r3Ixf0ZVNPaN0TKN/OPrKuIwC3ylSPbUXwy7f\nO8T/8k23R2tGSn8YSBcqAv4Zkeofm1mb+gR3HOVeBejriQ1k4zUbsGuqk0FVkN5TjlMdo+epbOBM\nL090kfUUDyCNVGtBupbd4mORHS35unMw4VTfc3QRv/jtd+G1N+4PXg/oHzJgaEGjBwlO/tQunm16\np40xf2yMeUD593b+vtoKtqZ2mK+q6/pOAG8D8IPGmNfKN2xyPuq6fm9d1/fUdX3PgQMHNht20vLM\n4MB8X5WkGyRSNYBH8SaKU9fNjS/iUJBqLRrn19eQ6qKs8YVnz+LmwwvRd9g702XKIDFSLVuxAn4R\nHpcx0tvJGdKgIHVVHRdB8PGnONWOkyyLLvodkLyvRp+oa6UYMfccVm2B1sfvrxejCf67SaT6K6/f\nj6oGPvzgseA6ZDNKRTfg065VYvxawx76XVN60QI+d47xm4GkfxhjcHRpBo+eIKRaX4TlWGiOylbk\ndvz6HJfj7yrNU4B486djT55cC/jUZEtzPVVL2wYF/lp8mJ2W8aeeUbo+zVWNEw7EqB9HxnaaGWP2\nGWM+bIx5qPl/MfG+x4wxnzPGfMYY88ntnj+1i2edJmOmOVL0HMtA1h6z83Zxm0j1nlakWl8PfZvy\nGDlOUSbp9zUVqfZACCC74NpjZaVnA4fdXK2D4ZQ9+d06zOGOKB55vG76sdhjg07cf4IshVQbY/D1\nL788Wu8H3cxlu+Xe3s6pniLVL7Zt6lTXdf3Guq5vU/79AYDnjTGXAUDznufMHQAAIABJREFU/7HE\nNZ5u/j8G4PcBUEXEls6/0Ea8aiB8oENNSemU6g+H/V2PRmWxBDeteIwfKyrbgvrmy+aj8fPK7VD9\nIz3+1Ljk7wEnmZ0jnVLORZ9NqH/818dONsdDp5vzw7TU/ubj15EBQEeq5bXlMcmpfuXV+7B/rocP\nPvBs9F75fQKnVGnjrv3ediykT+hzEwi/877ZeIE+sm8m6cRretH2s/V5EI0/Csr08WvKOvKcoqpx\nxV7FqZ7V5zjg/5Z5Jho0KQGhdg0Nqd5s/LI7HV1jhyLVO64WZmqx9TtZgv5h53CK/tHLM9XhbjO+\nRkqklJ7HzAi+cgKlBULKnlr4rHXBZZS9PDPBd6BntQ2p9nUw/nX6Lutq5qtxqou4xqqbWDf5WCL9\ncPbBBxVJvTYzxmB+0Ik+C/D7vq7+kSPPjOpwT+3i2Pne6fcD+K7m5+8C8AfyDcaYWWPMPP0M4M0A\nHtjq+RfDeJHAVpFqDYEmSz1gKWcJ0IvH/Gf796aQau0zwpauOtKrjT/lMGlV0tr1ZyKk2r73PX/y\nEL7xjsvxMhEYzCtcOEAvSiHrJgIXeY2U85pCqu14YvWVN9962KUZI9QjiVTrDr19Hx+/TkUB0k5d\nhFSzY/sU1OnIPs/D11AbwKYntaIddfwKYqS9N3WNGKn271PpH0xySn4eXUvjaSbH3/L8asiVvIYs\nJvbqHzuSU73jamGmFlu/m6tp/VSbcsA+x3tmukEwuhWTHWeDz2uemdZAXHlWqRBcc0pJ4k526gUs\np3p+0FFR4FQvgNl+R21TnmUmoHJoAFNdxzJ2qTWbH5OBiwUB7M+apN5mZp3q+O+9mU61Vsw6tYtn\n53u3fxbAm4wxDwF4Y/M7jDGXG2M+0LznEICPGmM+C+BvAPznuq4/2Hb+xbZDC/qG3c0z91Cl6B/2\nWNqp4MdSzgYQIr2aTjXZzYcVpHomgVS3IL3tSPvmTlHklLLrzUWFiqYZ+wJ+7p0vjxbwFFKtFaVo\nnxf9bRILHA9c2pDq+UG8+bzttsPqe4EWpLrF8UwFK/J3rdASCLMQ8px9ygJ9dMk7qimkWmpRa/JV\n2u9tx4K/IQ8cW8afon+kxt93m3jaqda6Vvpj6bmgcSqBGPXjyNgOtBelFuZC1cFMTbdzQap7udm2\n8gcQFipKJ7i/pSB3a4E4YNdtogdqe9rZjSJas2lNPu7qMGLKm0axA9LrXtuek8rO2d8JqY7vf6dx\n4mVx+VZsrt9V0ei2QsV7ju7D6286uO3Pmtq523npVNd1fQLA1yqvPwPgvubnRwDcsZ3zL7Zx+oe2\nYa8pYvW9NqcocYwaS1hOdXqT1zjVAHB4YYDF2fjh44viOSGlbc4IDxBMy8IXOBzhNLruwByOLs3g\nvd95t1osM5dAPVIoIdCOtKdS+3z8bUHBwiDeZO69dgl7hl2cWZ9Ec4G+k6QfaI0KyFLOcjz+FFKd\nvv9LyhzhagFy/IRunTPSq6h/+Gvo9z/FqQZ0p3o/o7TE49c38bDINp0ZkqgTndfLsxD9askmOaf6\nJcqpNsb8MQCts8NP81/quq6NMW21ME8bYw4C+LAx5ot1Xf/FVs+v6/q9AN4LAPfcc89L80btYOt3\nsiiDBfi9SnOq+908UkLairVzqvUgV5PXc8dagvTUuh0AIf1wzb776CIG3Qz/5cHnos8GwnsRN3bL\nYFtopDN3mkKJP6av59p97mQZ9gy70Ri2YvODDk6tbg+pfufdV+Kdd1+57c+a2rnbruuoCEikOt6w\n18ZKR7kEAi2PadSETQsVE8oIGp8aCOkf/DpZZjVDx2UsVh84/i1j2TJSzY5JSb233nYYb70t3amJ\nkOrMIHBitMYbblxtSGmCCxyOPxwjb0erIdXdPMObbjmE3/nUU8lCRTlHtuqUtm0wqcBILtABUr2Z\nU52gr2gFt+6cFt60ptmqjTmgf3TS479c41RvAalOpaHl9QFJH9Lnf1vdQIRUv8Q51XVdvzF1zBjz\nvDHmsrqun91qLYwxhmph/gJNLcxm50/t4tpX33AgyEiR0TzWeNM/8dabcQ7+nNq9kMw51ZHiUXo9\nbEWqE/tOSNkTik29HK+94QA+9Pnn1c/jVJgUqNSWgWsL4CV6TMdkdg6w9yhVpLiZzfc7Qd0OmdOp\nnvKmXxK2K/8KBxukWnJKAS+m30b/aE+N6w9YG1KaQqo1PjXgUQOJlAItDsc5cKoJaZfny+vLQsTN\njBZE7V7R12lDqvPWoEB3vuNCUf/7QiId+u2vPoKbDs0HQRjgkfl2ilDaKW1LhaYChDb6iuZUX7Zn\n4L6/lgrVxhg69FvnR/I5wudj2N5dn+MH5vtqmpRzqmXwQujcdjbBFMWDH0shTkCcjdnhHRV3ZC3M\n1EL7l990G77vq6+NXvdtyuN1+e6ji7jryPbFWrp55sGEKMil1yUQ0kbna6Nq+WN8TeJ7tayDAYA3\n33rYSc3Kz+NB8VaD9C1n5xJ7S4r+kZLT2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Q7/wDK6fyRtjDEbB+y0+jYzC3qGtpJ2y0vP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7zl0PsW3nAZ5/2uHTet2vr1vBonk1PvLNu2dpZHPXt+98iFse2Mmzn7hmWq8745hDWLtkPp/9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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x227e7dbef98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.signal import get_window\n",
    "from scipy.fftpack import fft\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "M = 128                                           # 信号的长度\n",
    "x = np.cos( np.linspace(0, 80.7*np.pi, 128) )     # 生成一段非周期信号\n",
    "w = get_window('hanning', M)                      # 调用窗函数，生成w（hanning是一种窗函数）\n",
    "\n",
    "X = fft(x)\n",
    "mX = np.abs(X)\n",
    "\n",
    "xw = x*w                                          # 加窗\n",
    "XW = fft(xw)\n",
    "mXW = np.abs(XW)\n",
    "\n",
    "plt.figure(figsize=(12,12))\n",
    "plt.subplot(321)\n",
    "plt.plot(x);plt.title('(a)Input signal')\n",
    "plt.subplot(322)\n",
    "plt.plot(xw);plt.title('(b)Windowed signal')\n",
    "plt.subplot(323)\n",
    "plt.plot(mX);plt.title('(c)Amplitude of unwindowed signal')\n",
    "plt.subplot(324)\n",
    "plt.plot(mXW);plt.title('(d)Amplitude of windowed signal')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. 分析意义\n",
    "\n",
    "一个加窗后的信号，它的傅里叶变换结果可以表示为窗函数的傅里叶变换。非常神奇的性质，并且在信号分析中非常重要，见如下证明\n",
    "\n",
    "![trans_of_window_sinewave](imgs/trans_of_window_sinewave.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 有哪些常用的窗函数？它们特点是什么？\n",
    "\n",
    "窗函数有很多很多种，Scipy中的get_window提供了多种窗函数的实现，具体请参看[scipy.signal.get_window](https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.get_window.html)\n",
    "\n",
    "每种窗函数都可以由两个特征来区别：主瓣的宽度（main-lobe width）和副瓣最大高度（side-lobe level）\n",
    "\n",
    "![analysis_window](imgs/analysis_window.png)\n",
    "\n",
    "下面介绍几种常用的窗函数"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Rectangular\n",
    "\n",
    "$$\n",
    "w[n] = \\begin{cases}\n",
    "1, &\\text{n=-M/2,...,0,...,M/2}\\\\\n",
    "0, &\\text{n=elsewhere}\n",
    "\\end{cases}\n",
    "$$\n",
    "\n",
    "$$W[k] = \\frac{\\pi k}{\\pi k/M}$$\n",
    "\n",
    "**main-lobe width: 2 bins**\n",
    "\n",
    "**side-lobe level: -13.3db**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x227e8326c50>"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x227e7f03d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1UQerPRhHQwHIsT0WNn4y8bDmWA/ZayKdKCRumoi8B2socfu6eikTmbciK//q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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x227e8315860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy import signal\n",
    "from scipy.fftpack import fft, fftshift\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "window = signal.boxcar(51)\n",
    "plt.plot(window)\n",
    "plt.title(\"Boxcar rectangular window\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.xlabel(\"Sample\")\n",
    "\n",
    "plt.figure()\n",
    "A = fft(window, 2048)\n",
    "freq = np.linspace(-0.5, 0.5, len(A))\n",
    "response = 20 * np.log10(np.abs(fftshift(A / abs(A).max())))\n",
    "plt.plot(freq, response)\n",
    "plt.axis([-0.5, 0.5, -120, 0])\n",
    "plt.title(\"Frequency response of the boxcar window\")\n",
    "plt.ylabel(\"Normalized magnitude [dB]\")\n",
    "plt.xlabel(\"Normalized frequency [cycles per sample]\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hanning\n",
    "\n",
    "$$w[n] = 0.5+0.5*\\cos (2\\pi n/M)$$\n",
    "$$W[k] = 0.5D[k] + 0.25(D[k-1] + D[k+1]), D[k] = \\frac{\\sin (\\pi k)}{\\pi k/M}$$\n",
    "\n",
    "**main-lobe width: 4 bins**\n",
    "\n",
    "**side-lobe level: -31.5db**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "E:\\ProgramData\\Anaconda3\\envs\\dl\\lib\\site-packages\\ipykernel_launcher.py:10: RuntimeWarning: divide by zero encountered in log10\n",
      "  # Remove the CWD from sys.path while we load stuff.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x227ea4c1908>"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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DzrZegvFDTepFc3X/Vnz4Ux7bdh92Ok5I8aYoXAm0UdVBqjrE/Rh6sheJSDjw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\nwoL1BTz08Wpy9x5hXL9k7h/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      "text/plain": [
       "<matplotlib.figure.Figure at 0x227e846a400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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stGX7+9+6GIBfn5xg3IwfON1ZIacSKbFEll+L+LweWzk4YyLRkB+fRxifTaGU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\nLK0hcuY2cPMRp9LcFBGxvye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Ec5ZFmTmrzmoi8cCZ1roqOvqH6egf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\nAzirmqb8ZWhWAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x227ea4b04a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "window = signal.hanning(51)\n",
    "plt.plot(window)\n",
    "plt.title(\"Hanning window\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.xlabel(\"Sample\")\n",
    "\n",
    "plt.figure()\n",
    "A = fft(window, 2048)\n",
    "freq = np.linspace(-0.5, 0.5, len(A))\n",
    "response = 20 * np.log10(np.abs(fftshift(A / abs(A).max())))\n",
    "plt.plot(freq, response)\n",
    "plt.axis([-0.5, 0.5, -120, 0])\n",
    "plt.title(\"Frequency response of the Hanning window\")\n",
    "plt.ylabel(\"Normalized magnitude [dB]\")\n",
    "plt.xlabel(\"Normalized frequency [cycles per sample]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hamming\n",
    "\n",
    "$$w[n] = 0.54+46*\\cos (2\\pi n/M)$$\n",
    "\n",
    "**main-lobe width: 4 bins**\n",
    "\n",
    "**side-lobe level: -42.7db**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x227e82d6dd8>"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x227e7d087f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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HB3DJh+/CQ8enTdu/+sgwCuUqplIF/ODpWt7oo8J09OEbdgDgBAvg1XJHZrO4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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x227e84404a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "window = signal.hamming(51)\n",
    "plt.plot(window)\n",
    "plt.title(\"Hamming window\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.xlabel(\"Sample\")\n",
    "\n",
    "plt.figure()\n",
    "A = fft(window, 2048)\n",
    "freq = np.linspace(-0.5, 0.5, len(A))\n",
    "response = 20 * np.log10(np.abs(fftshift(A / abs(A).max())))\n",
    "plt.plot(freq, response)\n",
    "plt.axis([-0.5, 0.5, -120, 0])\n",
    "plt.title(\"Frequency response of the Hamming window\")\n",
    "plt.ylabel(\"Normalized magnitude [dB]\")\n",
    "plt.xlabel(\"Normalized frequency [cycles per sample]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Blackman\n",
    "\n",
    "$$w[n] = 0.42 - 0.5\\cos(2\\pi n/M) + 0.08\\cos(4\\pi n/M)$$\n",
    "\n",
    "**main-lobe width: 6 bins**\n",
    "\n",
    "**side-lobe level: -58db**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "E:\\ProgramData\\Anaconda3\\envs\\dl\\lib\\site-packages\\ipykernel_launcher.py:10: RuntimeWarning: divide by zero encountered in log10\n",
      "  # Remove the CWD from sys.path while we load stuff.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x227e5ea7710>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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BSkS487wu5BaV8+nGfU7HMY3UmKKwAdc6zadrGJClqtnuCfTeBCYe57h7gXeB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\nHmVgUhw/uagH5/ds5xfFobE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      "text/plain": [
       "<matplotlib.figure.Figure at 0x227e848beb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3IsYvnx9rYMs0pwO1CJFupdS/A1ml1ANKqXcBr6hXg0TkOuAG4CKl1HnAP5rL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\nBweHMcMJEQcHBweHMeP/A99aaKlZrxJrAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x227e8190278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "window = signal.blackman(51)\n",
    "plt.plot(window)\n",
    "plt.title(\"Blackman window\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.xlabel(\"Sample\")\n",
    "\n",
    "plt.figure()\n",
    "A = fft(window, 2048)\n",
    "freq = np.linspace(-0.5, 0.5, len(A))\n",
    "response = 20 * np.log10(np.abs(fftshift(A / abs(A).max())))\n",
    "plt.plot(freq, response)\n",
    "plt.axis([-0.5, 0.5, -120, 0])\n",
    "plt.title(\"Frequency response of the Blackman window\")\n",
    "plt.ylabel(\"Normalized magnitude [dB]\")\n",
    "plt.xlabel(\"Normalized frequency [cycles per sample]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Blackman-Harris\n",
    "\n",
    "$$w[n] = \\frac{1}{M}\\sum_{i=0}^{3} \\alpha_i \\cos(2n/\\pi/M), \\alpha_0=0.35875, \\alpha_1=0.35875, \\alpha_1=0.35875, \\alpha_3=0.35875$$\n",
    "\n",
    "**main-lobe width: 8 bins**\n",
    "\n",
    "**side-lobe level: -92 db**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x227ea5e2cc0>"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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fzXl90/69tLoAn8LN1nUUVr4wtDtdOsSxIDefyYO7ex3HtLJAvr5twpmnubnG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\nP+9sKabWp4zL7szcCX2ZPry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      "text/plain": [
       "<matplotlib.figure.Figure at 0x227e83cb240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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olchIRDscKsWnECVyL/BGY0yrMaYFx711B/BnwH8UUzhFKRUjkQTGLL4+IpAb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\nIg4ODg4Oi8b/A4n1VAP0NqBeAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x227ea5cf8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "window = signal.blackmanharris(51)\n",
    "plt.plot(window)\n",
    "plt.title(\"Blackman-Harris window\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.xlabel(\"Sample\")\n",
    "\n",
    "plt.figure()\n",
    "A = fft(window, 2048)\n",
    "freq = np.linspace(-0.5, 0.5, len(A))\n",
    "response = 20 * np.log10(np.abs(fftshift(A / abs(A).max())))\n",
    "plt.plot(freq, response)\n",
    "plt.axis([-0.5, 0.5, -120, 0])\n",
    "plt.title(\"Frequency response of the Blackman-Harris window\")\n",
    "plt.ylabel(\"Normalized magnitude [dB]\")\n",
    "plt.xlabel(\"Normalized frequency [cycles per sample]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 总结\n",
    "\n",
    "本文中，我们首先介绍了窗函数的定义，说明了窗函数能够减少信号泄露，并且在信号分析非常的便利，然后我们又介绍了常见的几种窗函数和它们的性质"
   ]
  }
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